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Finding the Fourth Proportional to 23,229.67, 32,057.76 and 13,158.40

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Solution

The fourth proportional to 23,229.67, 32,057.76 and 13,158.40 is: 18,159.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,229.67 : 32,057.76 = 13,158.40 : x
  2. Step 2: Convert to fraction form
    23,229.67/32,057.76 = 13,158.40/x
  3. Step 3: Cross multiply
    23,229.67x = 32,057.76 × 13,158.40
  4. Step 4: Simplify right side
    23,229.67x = 421,828,829.18
  5. Step 5: Solve for x
    x = 421,828,829.18/23,229.67
  6. Step 6: Final answer
    x = 18,159.05

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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.