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Finding the Fourth Proportional to 23,520.92, 32,459.10 and 12,765.89

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Solution

The fourth proportional to 23,520.92, 32,459.10 and 12,765.89 is: 17,617.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,520.92 : 32,459.10 = 12,765.89 : x
  2. Step 2: Convert to fraction form
    23,520.92/32,459.10 = 12,765.89/x
  3. Step 3: Cross multiply
    23,520.92x = 32,459.10 × 12,765.89
  4. Step 4: Simplify right side
    23,520.92x = 414,369,300.10
  5. Step 5: Solve for x
    x = 414,369,300.10/23,520.92
  6. Step 6: Final answer
    x = 17,617.05

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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.