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Finding the Fourth Proportional to 23,477.96, 32,397.90 and 12,865.88

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Solution

The fourth proportional to 23,477.96, 32,397.90 and 12,865.88 is: 17,753.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,477.96 : 32,397.90 = 12,865.88 : x
  2. Step 2: Convert to fraction form
    23,477.96/32,397.90 = 12,865.88/x
  3. Step 3: Cross multiply
    23,477.96x = 32,397.90 × 12,865.88
  4. Step 4: Simplify right side
    23,477.96x = 416,827,493.65
  5. Step 5: Solve for x
    x = 416,827,493.65/23,477.96
  6. Step 6: Final answer
    x = 17,753.99

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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.