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Finding the Fourth Proportional to 24,325.50, 33,569.19 and 13,147.50

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Solution

The fourth proportional to 24,325.50, 33,569.19 and 13,147.50 is: 18,143.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,325.50 : 33,569.19 = 13,147.50 : x
  2. Step 2: Convert to fraction form
    24,325.50/33,569.19 = 13,147.50/x
  3. Step 3: Cross multiply
    24,325.50x = 33,569.19 × 13,147.50
  4. Step 4: Simplify right side
    24,325.50x = 441,350,925.53
  5. Step 5: Solve for x
    x = 441,350,925.53/24,325.50
  6. Step 6: Final answer
    x = 18,143.55

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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.