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Finding the Fourth Proportional to 24,427.90, 36,619.65 and 8,834.50

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Solution

The fourth proportional to 24,427.90, 36,619.65 and 8,834.50 is: 13,243.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,427.90 : 36,619.65 = 8,834.50 : x
  2. Step 2: Convert to fraction form
    24,427.90/36,619.65 = 8,834.50/x
  3. Step 3: Cross multiply
    24,427.90x = 36,619.65 × 8,834.50
  4. Step 4: Simplify right side
    24,427.90x = 323,516,297.93
  5. Step 5: Solve for x
    x = 323,516,297.93/24,427.90
  6. Step 6: Final answer
    x = 13,243.72

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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.