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Finding the Fourth Proportional to 16,257.88, 24,386.82 and 6,401.80

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Solution

The fourth proportional to 16,257.88, 24,386.82 and 6,401.80 is: 9,602.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,257.88 : 24,386.82 = 6,401.80 : x
  2. Step 2: Convert to fraction form
    16,257.88/24,386.82 = 6,401.80/x
  3. Step 3: Cross multiply
    16,257.88x = 24,386.82 × 6,401.80
  4. Step 4: Simplify right side
    16,257.88x = 156,119,544.28
  5. Step 5: Solve for x
    x = 156,119,544.28/16,257.88
  6. Step 6: Final answer
    x = 9,602.70

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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.