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Finding the Fourth Proportional to 14,677.31, 20,254.69 and 8,389.82

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Solution

The fourth proportional to 14,677.31, 20,254.69 and 8,389.82 is: 11,577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.31 : 20,254.69 = 8,389.82 : x
  2. Step 2: Convert to fraction form
    14,677.31/20,254.69 = 8,389.82/x
  3. Step 3: Cross multiply
    14,677.31x = 20,254.69 × 8,389.82
  4. Step 4: Simplify right side
    14,677.31x = 169,933,264.38
  5. Step 5: Solve for x
    x = 169,933,264.38/14,677.31
  6. Step 6: Final answer
    x = 11,577.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.