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Finding the Fourth Proportional to 24,180.53, 36,265.28 and 9,184.53

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Solution

The fourth proportional to 24,180.53, 36,265.28 and 9,184.53 is: 13,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,180.53 : 36,265.28 = 9,184.53 : x
  2. Step 2: Convert to fraction form
    24,180.53/36,265.28 = 9,184.53/x
  3. Step 3: Cross multiply
    24,180.53x = 36,265.28 × 9,184.53
  4. Step 4: Simplify right side
    24,180.53x = 333,079,506.20
  5. Step 5: Solve for x
    x = 333,079,506.20/24,180.53
  6. Step 6: Final answer
    x = 13,774.70

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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.