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Finding the Fourth Proportional to 14,899.52, 22,337.76 and 9,416

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Solution

The fourth proportional to 14,899.52, 22,337.76 and 9,416 is: 14,116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,899.52 : 22,337.76 = 9,416 : x
  2. Step 2: Convert to fraction form
    14,899.52/22,337.76 = 9,416/x
  3. Step 3: Cross multiply
    14,899.52x = 22,337.76 × 9,416
  4. Step 4: Simplify right side
    14,899.52x = 210,332,348.16
  5. Step 5: Solve for x
    x = 210,332,348.16/14,899.52
  6. Step 6: Final answer
    x = 14,116.72

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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.