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Finding the Fourth Proportional to 16,586.40, 24,843.15 and 14,399.40

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Solution

The fourth proportional to 16,586.40, 24,843.15 and 14,399.40 is: 21,567.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,586.40 : 24,843.15 = 14,399.40 : x
  2. Step 2: Convert to fraction form
    16,586.40/24,843.15 = 14,399.40/x
  3. Step 3: Cross multiply
    16,586.40x = 24,843.15 × 14,399.40
  4. Step 4: Simplify right side
    16,586.40x = 357,726,454.11
  5. Step 5: Solve for x
    x = 357,726,454.11/16,586.40
  6. Step 6: Final answer
    x = 21,567.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.