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Finding the Fourth Proportional to 17,586.32, 24,268.20 and 9,627.02

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Solution

The fourth proportional to 17,586.32, 24,268.20 and 9,627.02 is: 13,284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,586.32 : 24,268.20 = 9,627.02 : x
  2. Step 2: Convert to fraction form
    17,586.32/24,268.20 = 9,627.02/x
  3. Step 3: Cross multiply
    17,586.32x = 24,268.20 × 9,627.02
  4. Step 4: Simplify right side
    17,586.32x = 233,630,446.76
  5. Step 5: Solve for x
    x = 233,630,446.76/17,586.32
  6. Step 6: Final answer
    x = 13,284.78

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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.