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Finding the Fourth Proportional to 24,422.12, 36,635.52 and 6,653

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Solution

The fourth proportional to 24,422.12, 36,635.52 and 6,653 is: 9,980.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,422.12 : 36,635.52 = 6,653 : x
  2. Step 2: Convert to fraction form
    24,422.12/36,635.52 = 6,653/x
  3. Step 3: Cross multiply
    24,422.12x = 36,635.52 × 6,653
  4. Step 4: Simplify right side
    24,422.12x = 243,736,114.56
  5. Step 5: Solve for x
    x = 243,736,114.56/24,422.12
  6. Step 6: Final answer
    x = 9,980.14

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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.