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Finding the Fourth Proportional to 20,951.24, 31,437.08 and 9,859.02

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Solution

The fourth proportional to 20,951.24, 31,437.08 and 9,859.02 is: 14,793.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,951.24 : 31,437.08 = 9,859.02 : x
  2. Step 2: Convert to fraction form
    20,951.24/31,437.08 = 9,859.02/x
  3. Step 3: Cross multiply
    20,951.24x = 31,437.08 × 9,859.02
  4. Step 4: Simplify right side
    20,951.24x = 309,938,800.46
  5. Step 5: Solve for x
    x = 309,938,800.46/20,951.24
  6. Step 6: Final answer
    x = 14,793.34

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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.