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Finding the Fourth Proportional to 20,937.48, 31,404.78 and 9,853.80

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Solution

The fourth proportional to 20,937.48, 31,404.78 and 9,853.80 is: 14,780.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,937.48 : 31,404.78 = 9,853.80 : x
  2. Step 2: Convert to fraction form
    20,937.48/31,404.78 = 9,853.80/x
  3. Step 3: Cross multiply
    20,937.48x = 31,404.78 × 9,853.80
  4. Step 4: Simplify right side
    20,937.48x = 309,456,421.16
  5. Step 5: Solve for x
    x = 309,456,421.16/20,937.48
  6. Step 6: Final answer
    x = 14,780.02

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