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Finding the Fourth Proportional to 20,865.64, 31,354.78 and 19,537

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Solution

The fourth proportional to 20,865.64, 31,354.78 and 19,537 is: 29,358.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,865.64 : 31,354.78 = 19,537 : x
  2. Step 2: Convert to fraction form
    20,865.64/31,354.78 = 19,537/x
  3. Step 3: Cross multiply
    20,865.64x = 31,354.78 × 19,537
  4. Step 4: Simplify right side
    20,865.64x = 612,578,336.86
  5. Step 5: Solve for x
    x = 612,578,336.86/20,865.64
  6. Step 6: Final answer
    x = 29,358.23

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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.