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Finding the Fourth Proportional to 24,334.16, 36,500.92 and 5,866

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Solution

The fourth proportional to 24,334.16, 36,500.92 and 5,866 is: 8,798.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,334.16 : 36,500.92 = 5,866 : x
  2. Step 2: Convert to fraction form
    24,334.16/36,500.92 = 5,866/x
  3. Step 3: Cross multiply
    24,334.16x = 36,500.92 × 5,866
  4. Step 4: Simplify right side
    24,334.16x = 214,114,396.72
  5. Step 5: Solve for x
    x = 214,114,396.72/24,334.16
  6. Step 6: Final answer
    x = 8,798.92

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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.