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Finding the Fourth Proportional to 27,776.92, 38,332 and 15,201.64

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Solution

The fourth proportional to 27,776.92, 38,332 and 15,201.64 is: 20,978.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,776.92 : 38,332 = 15,201.64 : x
  2. Step 2: Convert to fraction form
    27,776.92/38,332 = 15,201.64/x
  3. Step 3: Cross multiply
    27,776.92x = 38,332 × 15,201.64
  4. Step 4: Simplify right side
    27,776.92x = 582,709,264.48
  5. Step 5: Solve for x
    x = 582,709,264.48/27,776.92
  6. Step 6: Final answer
    x = 20,978.18

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