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Finding the Fourth Proportional to 16,443.12, 22,641.78 and 13,785.90

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Solution

The fourth proportional to 16,443.12, 22,641.78 and 13,785.90 is: 18,982.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,443.12 : 22,641.78 = 13,785.90 : x
  2. Step 2: Convert to fraction form
    16,443.12/22,641.78 = 13,785.90/x
  3. Step 3: Cross multiply
    16,443.12x = 22,641.78 × 13,785.90
  4. Step 4: Simplify right side
    16,443.12x = 312,137,314.90
  5. Step 5: Solve for x
    x = 312,137,314.90/16,443.12
  6. Step 6: Final answer
    x = 18,982.85

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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.