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Finding the Fourth Proportional to 13,099.57, 18,077.85 and 7,131.47

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Solution

The fourth proportional to 13,099.57, 18,077.85 and 7,131.47 is: 9,841.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,099.57 : 18,077.85 = 7,131.47 : x
  2. Step 2: Convert to fraction form
    13,099.57/18,077.85 = 7,131.47/x
  3. Step 3: Cross multiply
    13,099.57x = 18,077.85 × 7,131.47
  4. Step 4: Simplify right side
    13,099.57x = 128,921,554.55
  5. Step 5: Solve for x
    x = 128,921,554.55/13,099.57
  6. Step 6: Final answer
    x = 9,841.66

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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.