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Finding the Fourth Proportional to 17,973.52, 24,802.80 and 10,015.30

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Solution

The fourth proportional to 17,973.52, 24,802.80 and 10,015.30 is: 13,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,973.52 : 24,802.80 = 10,015.30 : x
  2. Step 2: Convert to fraction form
    17,973.52/24,802.80 = 10,015.30/x
  3. Step 3: Cross multiply
    17,973.52x = 24,802.80 × 10,015.30
  4. Step 4: Simplify right side
    17,973.52x = 248,407,482.84
  5. Step 5: Solve for x
    x = 248,407,482.84/17,973.52
  6. Step 6: Final answer
    x = 13,820.75

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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.