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Finding the Fourth Proportional to 15,722.86, 23,582.50 and 5,862.46

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Solution

The fourth proportional to 15,722.86, 23,582.50 and 5,862.46 is: 8,793.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,722.86 : 23,582.50 = 5,862.46 : x
  2. Step 2: Convert to fraction form
    15,722.86/23,582.50 = 5,862.46/x
  3. Step 3: Cross multiply
    15,722.86x = 23,582.50 × 5,862.46
  4. Step 4: Simplify right side
    15,722.86x = 138,251,462.95
  5. Step 5: Solve for x
    x = 138,251,462.95/15,722.86
  6. Step 6: Final answer
    x = 8,793.02

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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.