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Finding the Fourth Proportional to 17,984.36, 24,819 and 10,028.28

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Solution

The fourth proportional to 17,984.36, 24,819 and 10,028.28 is: 13,839.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,984.36 : 24,819 = 10,028.28 : x
  2. Step 2: Convert to fraction form
    17,984.36/24,819 = 10,028.28/x
  3. Step 3: Cross multiply
    17,984.36x = 24,819 × 10,028.28
  4. Step 4: Simplify right side
    17,984.36x = 248,891,881.32
  5. Step 5: Solve for x
    x = 248,891,881.32/17,984.36
  6. Step 6: Final answer
    x = 13,839.35

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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.