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Finding the Fourth Proportional to 27,402.62, 37,815 and 15,465.66

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Solution

The fourth proportional to 27,402.62, 37,815 and 15,465.66 is: 21,342.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,402.62 : 37,815 = 15,465.66 : x
  2. Step 2: Convert to fraction form
    27,402.62/37,815 = 15,465.66/x
  3. Step 3: Cross multiply
    27,402.62x = 37,815 × 15,465.66
  4. Step 4: Simplify right side
    27,402.62x = 584,833,932.90
  5. Step 5: Solve for x
    x = 584,833,932.90/27,402.62
  6. Step 6: Final answer
    x = 21,342.26

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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.