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Finding the Fourth Proportional to 12,641.40, 17,445.96 and 9,285.66

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Solution

The fourth proportional to 12,641.40, 17,445.96 and 9,285.66 is: 12,814.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.40 : 17,445.96 = 9,285.66 : x
  2. Step 2: Convert to fraction form
    12,641.40/17,445.96 = 9,285.66/x
  3. Step 3: Cross multiply
    12,641.40x = 17,445.96 × 9,285.66
  4. Step 4: Simplify right side
    12,641.40x = 161,997,252.93
  5. Step 5: Solve for x
    x = 161,997,252.93/12,641.40
  6. Step 6: Final answer
    x = 12,814.82

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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.