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Finding the Fourth Proportional to 24,275.16, 36,403.92 and 8,475.75

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Solution

The fourth proportional to 24,275.16, 36,403.92 and 8,475.75 is: 12,710.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,275.16 : 36,403.92 = 8,475.75 : x
  2. Step 2: Convert to fraction form
    24,275.16/36,403.92 = 8,475.75/x
  3. Step 3: Cross multiply
    24,275.16x = 36,403.92 × 8,475.75
  4. Step 4: Simplify right side
    24,275.16x = 308,550,524.94
  5. Step 5: Solve for x
    x = 308,550,524.94/24,275.16
  6. Step 6: Final answer
    x = 12,710.55

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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.