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Finding the Fourth Proportional to 27,663.78, 38,176.28 and 15,088.53

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Solution

The fourth proportional to 27,663.78, 38,176.28 and 15,088.53 is: 20,822.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,663.78 : 38,176.28 = 15,088.53 : x
  2. Step 2: Convert to fraction form
    27,663.78/38,176.28 = 15,088.53/x
  3. Step 3: Cross multiply
    27,663.78x = 38,176.28 × 15,088.53
  4. Step 4: Simplify right side
    27,663.78x = 576,023,946.07
  5. Step 5: Solve for x
    x = 576,023,946.07/27,663.78
  6. Step 6: Final answer
    x = 20,822.32

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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.