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Finding the Fourth Proportional to 15,817.56, 21,832.32 and 9,103.86

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Solution

The fourth proportional to 15,817.56, 21,832.32 and 9,103.86 is: 12,565.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,817.56 : 21,832.32 = 9,103.86 : x
  2. Step 2: Convert to fraction form
    15,817.56/21,832.32 = 9,103.86/x
  3. Step 3: Cross multiply
    15,817.56x = 21,832.32 × 9,103.86
  4. Step 4: Simplify right side
    15,817.56x = 198,758,384.76
  5. Step 5: Solve for x
    x = 198,758,384.76/15,817.56
  6. Step 6: Final answer
    x = 12,565.68

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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.