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Finding the Fourth Proportional to 23,229.79, 32,057.51 and 13,157.98

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Solution

The fourth proportional to 23,229.79, 32,057.51 and 13,157.98 is: 18,158.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,229.79 : 32,057.51 = 13,157.98 : x
  2. Step 2: Convert to fraction form
    23,229.79/32,057.51 = 13,157.98/x
  3. Step 3: Cross multiply
    23,229.79x = 32,057.51 × 13,157.98
  4. Step 4: Simplify right side
    23,229.79x = 421,811,929.50
  5. Step 5: Solve for x
    x = 421,811,929.50/23,229.79
  6. Step 6: Final answer
    x = 18,158.23

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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.