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Finding the Fourth Proportional to 24,492.42, 36,720.54 and 7,842.82

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Solution

The fourth proportional to 24,492.42, 36,720.54 and 7,842.82 is: 11,758.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,492.42 : 36,720.54 = 7,842.82 : x
  2. Step 2: Convert to fraction form
    24,492.42/36,720.54 = 7,842.82/x
  3. Step 3: Cross multiply
    24,492.42x = 36,720.54 × 7,842.82
  4. Step 4: Simplify right side
    24,492.42x = 287,992,585.52
  5. Step 5: Solve for x
    x = 287,992,585.52/24,492.42
  6. Step 6: Final answer
    x = 11,758.44

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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.