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Finding the Fourth Proportional to 12,234.42, 16,867.14 and 9,724.86

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Solution

The fourth proportional to 12,234.42, 16,867.14 and 9,724.86 is: 13,407.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.42 : 16,867.14 = 9,724.86 : x
  2. Step 2: Convert to fraction form
    12,234.42/16,867.14 = 9,724.86/x
  3. Step 3: Cross multiply
    12,234.42x = 16,867.14 × 9,724.86
  4. Step 4: Simplify right side
    12,234.42x = 164,030,575.10
  5. Step 5: Solve for x
    x = 164,030,575.10/12,234.42
  6. Step 6: Final answer
    x = 13,407.30

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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.