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Finding the Fourth Proportional to 14,776.40, 20,398.96 and 11,411.66

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Solution

The fourth proportional to 14,776.40, 20,398.96 and 11,411.66 is: 15,753.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,776.40 : 20,398.96 = 11,411.66 : x
  2. Step 2: Convert to fraction form
    14,776.40/20,398.96 = 11,411.66/x
  3. Step 3: Cross multiply
    14,776.40x = 20,398.96 × 11,411.66
  4. Step 4: Simplify right side
    14,776.40x = 232,785,995.87
  5. Step 5: Solve for x
    x = 232,785,995.87/14,776.40
  6. Step 6: Final answer
    x = 15,753.90

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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.