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Finding the Fourth Proportional to 16,547.41, 24,815.78 and 5,451.46

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Solution

The fourth proportional to 16,547.41, 24,815.78 and 5,451.46 is: 8,175.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,547.41 : 24,815.78 = 5,451.46 : x
  2. Step 2: Convert to fraction form
    16,547.41/24,815.78 = 5,451.46/x
  3. Step 3: Cross multiply
    16,547.41x = 24,815.78 × 5,451.46
  4. Step 4: Simplify right side
    16,547.41x = 135,282,232.04
  5. Step 5: Solve for x
    x = 135,282,232.04/16,547.41
  6. Step 6: Final answer
    x = 8,175.43

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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.