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Finding the Fourth Proportional to 23,488.89, 32,414.70 and 12,878.70

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Solution

The fourth proportional to 23,488.89, 32,414.70 and 12,878.70 is: 17,772.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,488.89 : 32,414.70 = 12,878.70 : x
  2. Step 2: Convert to fraction form
    23,488.89/32,414.70 = 12,878.70/x
  3. Step 3: Cross multiply
    23,488.89x = 32,414.70 × 12,878.70
  4. Step 4: Simplify right side
    23,488.89x = 417,459,196.89
  5. Step 5: Solve for x
    x = 417,459,196.89/23,488.89
  6. Step 6: Final answer
    x = 17,772.62

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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.