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Finding the Fourth Proportional to 15,414.51, 23,078.82 and 9,854.13

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Solution

The fourth proportional to 15,414.51, 23,078.82 and 9,854.13 is: 14,753.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,414.51 : 23,078.82 = 9,854.13 : x
  2. Step 2: Convert to fraction form
    15,414.51/23,078.82 = 9,854.13/x
  3. Step 3: Cross multiply
    15,414.51x = 23,078.82 × 9,854.13
  4. Step 4: Simplify right side
    15,414.51x = 227,421,692.53
  5. Step 5: Solve for x
    x = 227,421,692.53/15,414.51
  6. Step 6: Final answer
    x = 14,753.74

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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.