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Finding the Fourth Proportional to 13,549.92, 20,319.12 and 8,354.40

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Solution

The fourth proportional to 13,549.92, 20,319.12 and 8,354.40 is: 12,528.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,549.92 : 20,319.12 = 8,354.40 : x
  2. Step 2: Convert to fraction form
    13,549.92/20,319.12 = 8,354.40/x
  3. Step 3: Cross multiply
    13,549.92x = 20,319.12 × 8,354.40
  4. Step 4: Simplify right side
    13,549.92x = 169,754,056.13
  5. Step 5: Solve for x
    x = 169,754,056.13/13,549.92
  6. Step 6: Final answer
    x = 12,528.05

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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.