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Finding the Fourth Proportional to 14,658.40, 22,007.85 and 9,425.80

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Solution

The fourth proportional to 14,658.40, 22,007.85 and 9,425.80 is: 14,151.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,658.40 : 22,007.85 = 9,425.80 : x
  2. Step 2: Convert to fraction form
    14,658.40/22,007.85 = 9,425.80/x
  3. Step 3: Cross multiply
    14,658.40x = 22,007.85 × 9,425.80
  4. Step 4: Simplify right side
    14,658.40x = 207,441,592.53
  5. Step 5: Solve for x
    x = 207,441,592.53/14,658.40
  6. Step 6: Final answer
    x = 14,151.72

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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.