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Finding the Fourth Proportional to 24,199.42, 36,304.26 and 8,617

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Solution

The fourth proportional to 24,199.42, 36,304.26 and 8,617 is: 12,927.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,199.42 : 36,304.26 = 8,617 : x
  2. Step 2: Convert to fraction form
    24,199.42/36,304.26 = 8,617/x
  3. Step 3: Cross multiply
    24,199.42x = 36,304.26 × 8,617
  4. Step 4: Simplify right side
    24,199.42x = 312,833,808.42
  5. Step 5: Solve for x
    x = 312,833,808.42/24,199.42
  6. Step 6: Final answer
    x = 12,927.33

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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.