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Finding the Fourth Proportional to 15,814.80, 23,722.61 and 7,492.86

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Solution

The fourth proportional to 15,814.80, 23,722.61 and 7,492.86 is: 11,239.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.80 : 23,722.61 = 7,492.86 : x
  2. Step 2: Convert to fraction form
    15,814.80/23,722.61 = 7,492.86/x
  3. Step 3: Cross multiply
    15,814.80x = 23,722.61 × 7,492.86
  4. Step 4: Simplify right side
    15,814.80x = 177,750,195.56
  5. Step 5: Solve for x
    x = 177,750,195.56/15,814.80
  6. Step 6: Final answer
    x = 11,239.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.