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Finding the Fourth Proportional to 23,468.70, 32,385.51 and 12,856.23

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Solution

The fourth proportional to 23,468.70, 32,385.51 and 12,856.23 is: 17,740.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,468.70 : 32,385.51 = 12,856.23 : x
  2. Step 2: Convert to fraction form
    23,468.70/32,385.51 = 12,856.23/x
  3. Step 3: Cross multiply
    23,468.70x = 32,385.51 × 12,856.23
  4. Step 4: Simplify right side
    23,468.70x = 416,355,565.23
  5. Step 5: Solve for x
    x = 416,355,565.23/23,468.70
  6. Step 6: Final answer
    x = 17,740.89

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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.