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Finding the Fourth Proportional to 14,113.65, 21,167.10 and 8,177.70

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Solution

The fourth proportional to 14,113.65, 21,167.10 and 8,177.70 is: 12,264.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.65 : 21,167.10 = 8,177.70 : x
  2. Step 2: Convert to fraction form
    14,113.65/21,167.10 = 8,177.70/x
  3. Step 3: Cross multiply
    14,113.65x = 21,167.10 × 8,177.70
  4. Step 4: Simplify right side
    14,113.65x = 173,098,193.67
  5. Step 5: Solve for x
    x = 173,098,193.67/14,113.65
  6. Step 6: Final answer
    x = 12,264.59

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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.