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Finding the Fourth Proportional to 16,217.11, 22,379.75 and 9,502.93

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Solution

The fourth proportional to 16,217.11, 22,379.75 and 9,502.93 is: 13,114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,217.11 : 22,379.75 = 9,502.93 : x
  2. Step 2: Convert to fraction form
    16,217.11/22,379.75 = 9,502.93/x
  3. Step 3: Cross multiply
    16,217.11x = 22,379.75 × 9,502.93
  4. Step 4: Simplify right side
    16,217.11x = 212,673,197.67
  5. Step 5: Solve for x
    x = 212,673,197.67/16,217.11
  6. Step 6: Final answer
    x = 13,114.12

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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.