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Finding the Fourth Proportional to 13,023.68, 17,973.01 and 7,984.97

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Solution

The fourth proportional to 13,023.68, 17,973.01 and 7,984.97 is: 11,019.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.68 : 17,973.01 = 7,984.97 : x
  2. Step 2: Convert to fraction form
    13,023.68/17,973.01 = 7,984.97/x
  3. Step 3: Cross multiply
    13,023.68x = 17,973.01 × 7,984.97
  4. Step 4: Simplify right side
    13,023.68x = 143,513,989.36
  5. Step 5: Solve for x
    x = 143,513,989.36/13,023.68
  6. Step 6: Final answer
    x = 11,019.46

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.