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Finding the Fourth Proportional to 20,851.58, 31,251.17 and 14,897.47

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Solution

The fourth proportional to 20,851.58, 31,251.17 and 14,897.47 is: 22,327.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,851.58 : 31,251.17 = 14,897.47 : x
  2. Step 2: Convert to fraction form
    20,851.58/31,251.17 = 14,897.47/x
  3. Step 3: Cross multiply
    20,851.58x = 31,251.17 × 14,897.47
  4. Step 4: Simplify right side
    20,851.58x = 465,563,301.45
  5. Step 5: Solve for x
    x = 465,563,301.45/20,851.58
  6. Step 6: Final answer
    x = 22,327.49

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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.