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Finding the Fourth Proportional to 15,411.90, 23,134.32 and 13,574.82

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Solution

The fourth proportional to 15,411.90, 23,134.32 and 13,574.82 is: 20,376.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,411.90 : 23,134.32 = 13,574.82 : x
  2. Step 2: Convert to fraction form
    15,411.90/23,134.32 = 13,574.82/x
  3. Step 3: Cross multiply
    15,411.90x = 23,134.32 × 13,574.82
  4. Step 4: Simplify right side
    15,411.90x = 314,044,229.82
  5. Step 5: Solve for x
    x = 314,044,229.82/15,411.90
  6. Step 6: Final answer
    x = 20,376.74

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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.