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Finding the Fourth Proportional to 14,742.29, 20,342.84 and 8,366.87

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Solution

The fourth proportional to 14,742.29, 20,342.84 and 8,366.87 is: 11,545.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,742.29 : 20,342.84 = 8,366.87 : x
  2. Step 2: Convert to fraction form
    14,742.29/20,342.84 = 8,366.87/x
  3. Step 3: Cross multiply
    14,742.29x = 20,342.84 × 8,366.87
  4. Step 4: Simplify right side
    14,742.29x = 170,205,754.16
  5. Step 5: Solve for x
    x = 170,205,754.16/14,742.29
  6. Step 6: Final answer
    x = 11,545.41

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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.