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Finding the Fourth Proportional to 24,830.63, 37,234.20 and 9,024.65

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Solution

The fourth proportional to 24,830.63, 37,234.20 and 9,024.65 is: 13,532.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,830.63 : 37,234.20 = 9,024.65 : x
  2. Step 2: Convert to fraction form
    24,830.63/37,234.20 = 9,024.65/x
  3. Step 3: Cross multiply
    24,830.63x = 37,234.20 × 9,024.65
  4. Step 4: Simplify right side
    24,830.63x = 336,025,623.03
  5. Step 5: Solve for x
    x = 336,025,623.03/24,830.63
  6. Step 6: Final answer
    x = 13,532.71

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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.