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Finding the Fourth Proportional to 23,284.91, 32,139.92 and 15,219.80

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Solution

The fourth proportional to 23,284.91, 32,139.92 and 15,219.80 is: 21,007.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,284.91 : 32,139.92 = 15,219.80 : x
  2. Step 2: Convert to fraction form
    23,284.91/32,139.92 = 15,219.80/x
  3. Step 3: Cross multiply
    23,284.91x = 32,139.92 × 15,219.80
  4. Step 4: Simplify right side
    23,284.91x = 489,163,152.29
  5. Step 5: Solve for x
    x = 489,163,152.29/23,284.91
  6. Step 6: Final answer
    x = 21,007.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.