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Finding the Fourth Proportional to 27,055.86, 37,337.04 and 15,732

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Solution

The fourth proportional to 27,055.86, 37,337.04 and 15,732 is: 21,710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,055.86 : 37,337.04 = 15,732 : x
  2. Step 2: Convert to fraction form
    27,055.86/37,337.04 = 15,732/x
  3. Step 3: Cross multiply
    27,055.86x = 37,337.04 × 15,732
  4. Step 4: Simplify right side
    27,055.86x = 587,386,313.28
  5. Step 5: Solve for x
    x = 587,386,313.28/27,055.86
  6. Step 6: Final answer
    x = 21,710.13

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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.