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Finding the Fourth Proportional to 16,225.64, 22,391.68 and 9,516.11

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Solution

The fourth proportional to 16,225.64, 22,391.68 and 9,516.11 is: 13,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,225.64 : 22,391.68 = 9,516.11 : x
  2. Step 2: Convert to fraction form
    16,225.64/22,391.68 = 9,516.11/x
  3. Step 3: Cross multiply
    16,225.64x = 22,391.68 × 9,516.11
  4. Step 4: Simplify right side
    16,225.64x = 213,081,586.41
  5. Step 5: Solve for x
    x = 213,081,586.41/16,225.64
  6. Step 6: Final answer
    x = 13,132.40

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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.