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Finding the Fourth Proportional to 20,469.71, 30,655.36 and 13,875.91

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Solution

The fourth proportional to 20,469.71, 30,655.36 and 13,875.91 is: 20,780.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,469.71 : 30,655.36 = 13,875.91 : x
  2. Step 2: Convert to fraction form
    20,469.71/30,655.36 = 13,875.91/x
  3. Step 3: Cross multiply
    20,469.71x = 30,655.36 × 13,875.91
  4. Step 4: Simplify right side
    20,469.71x = 425,370,957.08
  5. Step 5: Solve for x
    x = 425,370,957.08/20,469.71
  6. Step 6: Final answer
    x = 20,780.50

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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.