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Finding the Fourth Proportional to 27,314.96, 37,691.76 and 15,378.08

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Solution

The fourth proportional to 27,314.96, 37,691.76 and 15,378.08 is: 21,220.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,314.96 : 37,691.76 = 15,378.08 : x
  2. Step 2: Convert to fraction form
    27,314.96/37,691.76 = 15,378.08/x
  3. Step 3: Cross multiply
    27,314.96x = 37,691.76 × 15,378.08
  4. Step 4: Simplify right side
    27,314.96x = 579,626,900.62
  5. Step 5: Solve for x
    x = 579,626,900.62/27,314.96
  6. Step 6: Final answer
    x = 21,220.13

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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.