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Finding the Fourth Proportional to 14,960.49, 20,641.19 and 9,658.32

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Solution

The fourth proportional to 14,960.49, 20,641.19 and 9,658.32 is: 13,325.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,960.49 : 20,641.19 = 9,658.32 : x
  2. Step 2: Convert to fraction form
    14,960.49/20,641.19 = 9,658.32/x
  3. Step 3: Cross multiply
    14,960.49x = 20,641.19 × 9,658.32
  4. Step 4: Simplify right side
    14,960.49x = 199,359,169.91
  5. Step 5: Solve for x
    x = 199,359,169.91/14,960.49
  6. Step 6: Final answer
    x = 13,325.71

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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.