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Finding the Fourth Proportional to 24,452.30, 36,677.82 and 7,813.28

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Solution

The fourth proportional to 24,452.30, 36,677.82 and 7,813.28 is: 11,719.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,452.30 : 36,677.82 = 7,813.28 : x
  2. Step 2: Convert to fraction form
    24,452.30/36,677.82 = 7,813.28/x
  3. Step 3: Cross multiply
    24,452.30x = 36,677.82 × 7,813.28
  4. Step 4: Simplify right side
    24,452.30x = 286,574,077.45
  5. Step 5: Solve for x
    x = 286,574,077.45/24,452.30
  6. Step 6: Final answer
    x = 11,719.72

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1.5x scale

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.