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Finding the Fourth Proportional to 27,442.56, 41,156.64 and 9,909.12

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Solution

The fourth proportional to 27,442.56, 41,156.64 and 9,909.12 is: 14,861.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,442.56 : 41,156.64 = 9,909.12 : x
  2. Step 2: Convert to fraction form
    27,442.56/41,156.64 = 9,909.12/x
  3. Step 3: Cross multiply
    27,442.56x = 41,156.64 × 9,909.12
  4. Step 4: Simplify right side
    27,442.56x = 407,826,084.56
  5. Step 5: Solve for x
    x = 407,826,084.56/27,442.56
  6. Step 6: Final answer
    x = 14,861.08

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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.