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Finding the Fourth Proportional to 24,497.08, 36,763.06 and 9,709.20

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Solution

The fourth proportional to 24,497.08, 36,763.06 and 9,709.20 is: 14,570.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,497.08 : 36,763.06 = 9,709.20 : x
  2. Step 2: Convert to fraction form
    24,497.08/36,763.06 = 9,709.20/x
  3. Step 3: Cross multiply
    24,497.08x = 36,763.06 × 9,709.20
  4. Step 4: Simplify right side
    24,497.08x = 356,939,902.15
  5. Step 5: Solve for x
    x = 356,939,902.15/24,497.08
  6. Step 6: Final answer
    x = 14,570.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.