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Finding the Fourth Proportional to 27,424.32, 41,044.32 and 15,720

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Solution

The fourth proportional to 27,424.32, 41,044.32 and 15,720 is: 23,527.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,424.32 : 41,044.32 = 15,720 : x
  2. Step 2: Convert to fraction form
    27,424.32/41,044.32 = 15,720/x
  3. Step 3: Cross multiply
    27,424.32x = 41,044.32 × 15,720
  4. Step 4: Simplify right side
    27,424.32x = 645,216,710.40
  5. Step 5: Solve for x
    x = 645,216,710.40/27,424.32
  6. Step 6: Final answer
    x = 23,527.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.