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Finding the Fourth Proportional to 13,137.50, 18,130.13 and 7,169.55

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Solution

The fourth proportional to 13,137.50, 18,130.13 and 7,169.55 is: 9,894.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,137.50 : 18,130.13 = 7,169.55 : x
  2. Step 2: Convert to fraction form
    13,137.50/18,130.13 = 7,169.55/x
  3. Step 3: Cross multiply
    13,137.50x = 18,130.13 × 7,169.55
  4. Step 4: Simplify right side
    13,137.50x = 129,984,891.47
  5. Step 5: Solve for x
    x = 129,984,891.47/13,137.50
  6. Step 6: Final answer
    x = 9,894.19

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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.