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Finding the Fourth Proportional to 27,349.24, 37,740.88 and 15,415

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Solution

The fourth proportional to 27,349.24, 37,740.88 and 15,415 is: 21,272.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,349.24 : 37,740.88 = 15,415 : x
  2. Step 2: Convert to fraction form
    27,349.24/37,740.88 = 15,415/x
  3. Step 3: Cross multiply
    27,349.24x = 37,740.88 × 15,415
  4. Step 4: Simplify right side
    27,349.24x = 581,775,665.20
  5. Step 5: Solve for x
    x = 581,775,665.20/27,349.24
  6. Step 6: Final answer
    x = 21,272.10

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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.