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Finding the Fourth Proportional to 20,853.04, 31,238.40 and 13,432

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Solution

The fourth proportional to 20,853.04, 31,238.40 and 13,432 is: 20,121.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,853.04 : 31,238.40 = 13,432 : x
  2. Step 2: Convert to fraction form
    20,853.04/31,238.40 = 13,432/x
  3. Step 3: Cross multiply
    20,853.04x = 31,238.40 × 13,432
  4. Step 4: Simplify right side
    20,853.04x = 419,594,188.80
  5. Step 5: Solve for x
    x = 419,594,188.80/20,853.04
  6. Step 6: Final answer
    x = 20,121.49

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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.