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Finding the Fourth Proportional to 24,165.64, 36,246.84 and 6,634

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Solution

The fourth proportional to 24,165.64, 36,246.84 and 6,634 is: 9,950.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,165.64 : 36,246.84 = 6,634 : x
  2. Step 2: Convert to fraction form
    24,165.64/36,246.84 = 6,634/x
  3. Step 3: Cross multiply
    24,165.64x = 36,246.84 × 6,634
  4. Step 4: Simplify right side
    24,165.64x = 240,461,536.56
  5. Step 5: Solve for x
    x = 240,461,536.56/24,165.64
  6. Step 6: Final answer
    x = 9,950.56

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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.