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Finding the Fourth Proportional to 17,209.96, 25,815.90 and 4,897

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Solution

The fourth proportional to 17,209.96, 25,815.90 and 4,897 is: 7,345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,209.96 : 25,815.90 = 4,897 : x
  2. Step 2: Convert to fraction form
    17,209.96/25,815.90 = 4,897/x
  3. Step 3: Cross multiply
    17,209.96x = 25,815.90 × 4,897
  4. Step 4: Simplify right side
    17,209.96x = 126,420,462.30
  5. Step 5: Solve for x
    x = 126,420,462.30/17,209.96
  6. Step 6: Final answer
    x = 7,345.77

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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.