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Finding the Fourth Proportional to 24,420.57, 36,632.27 and 9,427.77

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Solution

The fourth proportional to 24,420.57, 36,632.27 and 9,427.77 is: 14,142.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,420.57 : 36,632.27 = 9,427.77 : x
  2. Step 2: Convert to fraction form
    24,420.57/36,632.27 = 9,427.77/x
  3. Step 3: Cross multiply
    24,420.57x = 36,632.27 × 9,427.77
  4. Step 4: Simplify right side
    24,420.57x = 345,360,385.84
  5. Step 5: Solve for x
    x = 345,360,385.84/24,420.57
  6. Step 6: Final answer
    x = 14,142.19

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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.