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Finding the Fourth Proportional to 27,917.52, 38,526.48 and 15,342

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Solution

The fourth proportional to 27,917.52, 38,526.48 and 15,342 is: 21,172.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,917.52 : 38,526.48 = 15,342 : x
  2. Step 2: Convert to fraction form
    27,917.52/38,526.48 = 15,342/x
  3. Step 3: Cross multiply
    27,917.52x = 38,526.48 × 15,342
  4. Step 4: Simplify right side
    27,917.52x = 591,073,256.16
  5. Step 5: Solve for x
    x = 591,073,256.16/27,917.52
  6. Step 6: Final answer
    x = 21,172.13

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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.