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Finding the Fourth Proportional to 23,488.74, 32,414.36 and 12,878.37

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Solution

The fourth proportional to 23,488.74, 32,414.36 and 12,878.37 is: 17,772.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,488.74 : 32,414.36 = 12,878.37 : x
  2. Step 2: Convert to fraction form
    23,488.74/32,414.36 = 12,878.37/x
  3. Step 3: Cross multiply
    23,488.74x = 32,414.36 × 12,878.37
  4. Step 4: Simplify right side
    23,488.74x = 417,444,057.00
  5. Step 5: Solve for x
    x = 417,444,057.00/23,488.74
  6. Step 6: Final answer
    x = 17,772.09

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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.