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Finding the Fourth Proportional to 23,488.21, 32,410.19 and 13,414.51

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Solution

The fourth proportional to 23,488.21, 32,410.19 and 13,414.51 is: 18,510.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,488.21 : 32,410.19 = 13,414.51 : x
  2. Step 2: Convert to fraction form
    23,488.21/32,410.19 = 13,414.51/x
  3. Step 3: Cross multiply
    23,488.21x = 32,410.19 × 13,414.51
  4. Step 4: Simplify right side
    23,488.21x = 434,766,891.91
  5. Step 5: Solve for x
    x = 434,766,891.91/23,488.21
  6. Step 6: Final answer
    x = 18,510.00

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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.