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Finding the Fourth Proportional to 23,488.99, 32,414.79 and 12,878.80

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Solution

The fourth proportional to 23,488.99, 32,414.79 and 12,878.80 is: 17,772.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,488.99 : 32,414.79 = 12,878.80 : x
  2. Step 2: Convert to fraction form
    23,488.99/32,414.79 = 12,878.80/x
  3. Step 3: Cross multiply
    23,488.99x = 32,414.79 × 12,878.80
  4. Step 4: Simplify right side
    23,488.99x = 417,463,597.45
  5. Step 5: Solve for x
    x = 417,463,597.45/23,488.99
  6. Step 6: Final answer
    x = 17,772.74

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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.