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Finding the Fourth Proportional to 20,897.84, 31,346.65 and 7,399.02

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Solution

The fourth proportional to 20,897.84, 31,346.65 and 7,399.02 is: 11,098.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,897.84 : 31,346.65 = 7,399.02 : x
  2. Step 2: Convert to fraction form
    20,897.84/31,346.65 = 7,399.02/x
  3. Step 3: Cross multiply
    20,897.84x = 31,346.65 × 7,399.02
  4. Step 4: Simplify right side
    20,897.84x = 231,934,471.79
  5. Step 5: Solve for x
    x = 231,934,471.79/20,897.84
  6. Step 6: Final answer
    x = 11,098.49

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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.