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Finding the Fourth Proportional to 21,701.20, 32,551.80 and 15,869.20

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Solution

The fourth proportional to 21,701.20, 32,551.80 and 15,869.20 is: 23,803.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,701.20 : 32,551.80 = 15,869.20 : x
  2. Step 2: Convert to fraction form
    21,701.20/32,551.80 = 15,869.20/x
  3. Step 3: Cross multiply
    21,701.20x = 32,551.80 × 15,869.20
  4. Step 4: Simplify right side
    21,701.20x = 516,571,024.56
  5. Step 5: Solve for x
    x = 516,571,024.56/21,701.20
  6. Step 6: Final answer
    x = 23,803.80

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Why These Related Problems?

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