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Finding the Fourth Proportional to 14,677.57, 20,254.90 and 8,305.40

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Solution

The fourth proportional to 14,677.57, 20,254.90 and 8,305.40 is: 11,461.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,677.57 : 20,254.90 = 8,305.40 : x
  2. Step 2: Convert to fraction form
    14,677.57/20,254.90 = 8,305.40/x
  3. Step 3: Cross multiply
    14,677.57x = 20,254.90 × 8,305.40
  4. Step 4: Simplify right side
    14,677.57x = 168,225,046.46
  5. Step 5: Solve for x
    x = 168,225,046.46/14,677.57
  6. Step 6: Final answer
    x = 11,461.37

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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.