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Finding the Fourth Proportional to 24,323.94, 36,464.34 and 9,543.45

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Solution

The fourth proportional to 24,323.94, 36,464.34 and 9,543.45 is: 14,306.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,323.94 : 36,464.34 = 9,543.45 : x
  2. Step 2: Convert to fraction form
    24,323.94/36,464.34 = 9,543.45/x
  3. Step 3: Cross multiply
    24,323.94x = 36,464.34 × 9,543.45
  4. Step 4: Simplify right side
    24,323.94x = 347,995,605.57
  5. Step 5: Solve for x
    x = 347,995,605.57/24,323.94
  6. Step 6: Final answer
    x = 14,306.71

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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.