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Finding the Fourth Proportional to 10,832.60, 16,248.90 and 9,601.40

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Solution

The fourth proportional to 10,832.60, 16,248.90 and 9,601.40 is: 14,402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.60 : 16,248.90 = 9,601.40 : x
  2. Step 2: Convert to fraction form
    10,832.60/16,248.90 = 9,601.40/x
  3. Step 3: Cross multiply
    10,832.60x = 16,248.90 × 9,601.40
  4. Step 4: Simplify right side
    10,832.60x = 156,012,188.46
  5. Step 5: Solve for x
    x = 156,012,188.46/10,832.60
  6. Step 6: Final answer
    x = 14,402.10

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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.