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Finding the Fourth Proportional to 13,393.57, 20,088.07 and 3,532.95

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Solution

The fourth proportional to 13,393.57, 20,088.07 and 3,532.95 is: 5,298.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,393.57 : 20,088.07 = 3,532.95 : x
  2. Step 2: Convert to fraction form
    13,393.57/20,088.07 = 3,532.95/x
  3. Step 3: Cross multiply
    13,393.57x = 20,088.07 × 3,532.95
  4. Step 4: Simplify right side
    13,393.57x = 70,970,146.91
  5. Step 5: Solve for x
    x = 70,970,146.91/13,393.57
  6. Step 6: Final answer
    x = 5,298.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.