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Finding the Fourth Proportional to 23,468.96, 32,385.48 and 12,856.88

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Solution

The fourth proportional to 23,468.96, 32,385.48 and 12,856.88 is: 17,741.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,468.96 : 32,385.48 = 12,856.88 : x
  2. Step 2: Convert to fraction form
    23,468.96/32,385.48 = 12,856.88/x
  3. Step 3: Cross multiply
    23,468.96x = 32,385.48 × 12,856.88
  4. Step 4: Simplify right side
    23,468.96x = 416,376,230.10
  5. Step 5: Solve for x
    x = 416,376,230.10/23,468.96
  6. Step 6: Final answer
    x = 17,741.57

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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.