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Finding the Fourth Proportional to 27,134.32, 40,705.56 and 9,604.32

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Solution

The fourth proportional to 27,134.32, 40,705.56 and 9,604.32 is: 14,407.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,134.32 : 40,705.56 = 9,604.32 : x
  2. Step 2: Convert to fraction form
    27,134.32/40,705.56 = 9,604.32/x
  3. Step 3: Cross multiply
    27,134.32x = 40,705.56 × 9,604.32
  4. Step 4: Simplify right side
    27,134.32x = 390,949,224.02
  5. Step 5: Solve for x
    x = 390,949,224.02/27,134.32
  6. Step 6: Final answer
    x = 14,407.92

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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.