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Finding the Fourth Proportional to 24,230.40, 36,336.24 and 9,437.46

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Solution

The fourth proportional to 24,230.40, 36,336.24 and 9,437.46 is: 14,152.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,230.40 : 36,336.24 = 9,437.46 : x
  2. Step 2: Convert to fraction form
    24,230.40/36,336.24 = 9,437.46/x
  3. Step 3: Cross multiply
    24,230.40x = 36,336.24 × 9,437.46
  4. Step 4: Simplify right side
    24,230.40x = 342,921,811.55
  5. Step 5: Solve for x
    x = 342,921,811.55/24,230.40
  6. Step 6: Final answer
    x = 14,152.54

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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.