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Finding the Fourth Proportional to 15,819.50, 21,831.28 and 10,240.22

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Solution

The fourth proportional to 15,819.50, 21,831.28 and 10,240.22 is: 14,131.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,819.50 : 21,831.28 = 10,240.22 : x
  2. Step 2: Convert to fraction form
    15,819.50/21,831.28 = 10,240.22/x
  3. Step 3: Cross multiply
    15,819.50x = 21,831.28 × 10,240.22
  4. Step 4: Simplify right side
    15,819.50x = 223,557,110.08
  5. Step 5: Solve for x
    x = 223,557,110.08/15,819.50
  6. Step 6: Final answer
    x = 14,131.74

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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.