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Finding the Fourth Proportional to 27,430.72, 37,854.42 and 15,494.08

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Solution

The fourth proportional to 27,430.72, 37,854.42 and 15,494.08 is: 21,381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,430.72 : 37,854.42 = 15,494.08 : x
  2. Step 2: Convert to fraction form
    27,430.72/37,854.42 = 15,494.08/x
  3. Step 3: Cross multiply
    27,430.72x = 37,854.42 × 15,494.08
  4. Step 4: Simplify right side
    27,430.72x = 586,519,411.83
  5. Step 5: Solve for x
    x = 586,519,411.83/27,430.72
  6. Step 6: Final answer
    x = 21,381.85

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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.