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Finding the Fourth Proportional to 16,762.69, 23,132.42 and 9,105.90

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Solution

The fourth proportional to 16,762.69, 23,132.42 and 9,105.90 is: 12,566.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,762.69 : 23,132.42 = 9,105.90 : x
  2. Step 2: Convert to fraction form
    16,762.69/23,132.42 = 9,105.90/x
  3. Step 3: Cross multiply
    16,762.69x = 23,132.42 × 9,105.90
  4. Step 4: Simplify right side
    16,762.69x = 210,641,535.27
  5. Step 5: Solve for x
    x = 210,641,535.27/16,762.69
  6. Step 6: Final answer
    x = 12,566.10

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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.