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Finding the Fourth Proportional to 23,778.80, 32,824.00 and 13,715.87

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Solution

The fourth proportional to 23,778.80, 32,824.00 and 13,715.87 is: 18,933.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,778.80 : 32,824.00 = 13,715.87 : x
  2. Step 2: Convert to fraction form
    23,778.80/32,824.00 = 13,715.87/x
  3. Step 3: Cross multiply
    23,778.80x = 32,824.00 × 13,715.87
  4. Step 4: Simplify right side
    23,778.80x = 450,209,569.90
  5. Step 5: Solve for x
    x = 450,209,569.90/23,778.80
  6. Step 6: Final answer
    x = 18,933.23

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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.