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Finding the Fourth Proportional to 24,454.40, 36,677.52 and 6,919.88

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Solution

The fourth proportional to 24,454.40, 36,677.52 and 6,919.88 is: 10,378.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,454.40 : 36,677.52 = 6,919.88 : x
  2. Step 2: Convert to fraction form
    24,454.40/36,677.52 = 6,919.88/x
  3. Step 3: Cross multiply
    24,454.40x = 36,677.52 × 6,919.88
  4. Step 4: Simplify right side
    24,454.40x = 253,804,037.10
  5. Step 5: Solve for x
    x = 253,804,037.10/24,454.40
  6. Step 6: Final answer
    x = 10,378.67

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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.