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Finding the Fourth Proportional to 12,149.69, 16,767.34 and 9,160.25

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Solution

The fourth proportional to 12,149.69, 16,767.34 and 9,160.25 is: 12,641.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,149.69 : 16,767.34 = 9,160.25 : x
  2. Step 2: Convert to fraction form
    12,149.69/16,767.34 = 9,160.25/x
  3. Step 3: Cross multiply
    12,149.69x = 16,767.34 × 9,160.25
  4. Step 4: Simplify right side
    12,149.69x = 153,592,919.50
  5. Step 5: Solve for x
    x = 153,592,919.50/12,149.69
  6. Step 6: Final answer
    x = 12,641.72

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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.