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Finding the Fourth Proportional to 24,536.58, 36,808.32 and 9,747

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Solution

The fourth proportional to 24,536.58, 36,808.32 and 9,747 is: 14,621.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,536.58 : 36,808.32 = 9,747 : x
  2. Step 2: Convert to fraction form
    24,536.58/36,808.32 = 9,747/x
  3. Step 3: Cross multiply
    24,536.58x = 36,808.32 × 9,747
  4. Step 4: Simplify right side
    24,536.58x = 358,770,695.04
  5. Step 5: Solve for x
    x = 358,770,695.04/24,536.58
  6. Step 6: Final answer
    x = 14,621.87

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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.