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Finding the Fourth Proportional to 12,543.48, 17,312.94 and 9,191.16

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Solution

The fourth proportional to 12,543.48, 17,312.94 and 9,191.16 is: 12,685.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,543.48 : 17,312.94 = 9,191.16 : x
  2. Step 2: Convert to fraction form
    12,543.48/17,312.94 = 9,191.16/x
  3. Step 3: Cross multiply
    12,543.48x = 17,312.94 × 9,191.16
  4. Step 4: Simplify right side
    12,543.48x = 159,126,001.61
  5. Step 5: Solve for x
    x = 159,126,001.61/12,543.48
  6. Step 6: Final answer
    x = 12,685.95

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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.