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Finding the Fourth Proportional to 24,449.13, 36,675.65 and 7,811.53

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Solution

The fourth proportional to 24,449.13, 36,675.65 and 7,811.53 is: 11,717.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,449.13 : 36,675.65 = 7,811.53 : x
  2. Step 2: Convert to fraction form
    24,449.13/36,675.65 = 7,811.53/x
  3. Step 3: Cross multiply
    24,449.13x = 36,675.65 × 7,811.53
  4. Step 4: Simplify right side
    24,449.13x = 286,492,868.08
  5. Step 5: Solve for x
    x = 286,492,868.08/24,449.13
  6. Step 6: Final answer
    x = 11,717.92

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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.