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Finding the Fourth Proportional to 21,124.47, 29,206.50 and 20,195

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Solution

The fourth proportional to 21,124.47, 29,206.50 and 20,195 is: 27,921.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,124.47 : 29,206.50 = 20,195 : x
  2. Step 2: Convert to fraction form
    21,124.47/29,206.50 = 20,195/x
  3. Step 3: Cross multiply
    21,124.47x = 29,206.50 × 20,195
  4. Step 4: Simplify right side
    21,124.47x = 589,825,267.50
  5. Step 5: Solve for x
    x = 589,825,267.50/21,124.47
  6. Step 6: Final answer
    x = 27,921.42

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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.