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Finding the Fourth Proportional to 24,545.74, 36,818.98 and 6,776.24

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Solution

The fourth proportional to 24,545.74, 36,818.98 and 6,776.24 is: 10,164.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,545.74 : 36,818.98 = 6,776.24 : x
  2. Step 2: Convert to fraction form
    24,545.74/36,818.98 = 6,776.24/x
  3. Step 3: Cross multiply
    24,545.74x = 36,818.98 × 6,776.24
  4. Step 4: Simplify right side
    24,545.74x = 249,494,245.04
  5. Step 5: Solve for x
    x = 249,494,245.04/24,545.74
  6. Step 6: Final answer
    x = 10,164.46

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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.