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Finding the Fourth Proportional to 13,132.50, 18,122.83 and 7,164.15

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Solution

The fourth proportional to 13,132.50, 18,122.83 and 7,164.15 is: 9,886.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,132.50 : 18,122.83 = 7,164.15 : x
  2. Step 2: Convert to fraction form
    13,132.50/18,122.83 = 7,164.15/x
  3. Step 3: Cross multiply
    13,132.50x = 18,122.83 × 7,164.15
  4. Step 4: Simplify right side
    13,132.50x = 129,834,677.94
  5. Step 5: Solve for x
    x = 129,834,677.94/13,132.50
  6. Step 6: Final answer
    x = 9,886.52

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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.