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Finding the Fourth Proportional to 16,401.78, 24,603.03 and 6,545.70

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Solution

The fourth proportional to 16,401.78, 24,603.03 and 6,545.70 is: 9,818.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,401.78 : 24,603.03 = 6,545.70 : x
  2. Step 2: Convert to fraction form
    16,401.78/24,603.03 = 6,545.70/x
  3. Step 3: Cross multiply
    16,401.78x = 24,603.03 × 6,545.70
  4. Step 4: Simplify right side
    16,401.78x = 161,044,053.47
  5. Step 5: Solve for x
    x = 161,044,053.47/16,401.78
  6. Step 6: Final answer
    x = 9,818.69

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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.