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Finding the Fourth Proportional to 27,431.04, 37,854.16 and 15,494

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Solution

The fourth proportional to 27,431.04, 37,854.16 and 15,494 is: 21,381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431.04 : 37,854.16 = 15,494 : x
  2. Step 2: Convert to fraction form
    27,431.04/37,854.16 = 15,494/x
  3. Step 3: Cross multiply
    27,431.04x = 37,854.16 × 15,494
  4. Step 4: Simplify right side
    27,431.04x = 586,512,355.04
  5. Step 5: Solve for x
    x = 586,512,355.04/27,431.04
  6. Step 6: Final answer
    x = 21,381.34

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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.