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Finding the Fourth Proportional to 14,107.68, 21,161.52 and 9,711.90

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Solution

The fourth proportional to 14,107.68, 21,161.52 and 9,711.90 is: 14,567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.68 : 21,161.52 = 9,711.90 : x
  2. Step 2: Convert to fraction form
    14,107.68/21,161.52 = 9,711.90/x
  3. Step 3: Cross multiply
    14,107.68x = 21,161.52 × 9,711.90
  4. Step 4: Simplify right side
    14,107.68x = 205,518,566.09
  5. Step 5: Solve for x
    x = 205,518,566.09/14,107.68
  6. Step 6: Final answer
    x = 14,567.85

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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.