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Finding the Fourth Proportional to 20,897.30, 31,354.14 and 9,202.32

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Solution

The fourth proportional to 20,897.30, 31,354.14 and 9,202.32 is: 13,807.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,897.30 : 31,354.14 = 9,202.32 : x
  2. Step 2: Convert to fraction form
    20,897.30/31,354.14 = 9,202.32/x
  3. Step 3: Cross multiply
    20,897.30x = 31,354.14 × 9,202.32
  4. Step 4: Simplify right side
    20,897.30x = 288,530,829.60
  5. Step 5: Solve for x
    x = 288,530,829.60/20,897.30
  6. Step 6: Final answer
    x = 13,807.09

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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.