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Finding the Fourth Proportional to 17,089.10, 25,633.65 and 9,215.90

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Solution

The fourth proportional to 17,089.10, 25,633.65 and 9,215.90 is: 13,823.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,089.10 : 25,633.65 = 9,215.90 : x
  2. Step 2: Convert to fraction form
    17,089.10/25,633.65 = 9,215.90/x
  3. Step 3: Cross multiply
    17,089.10x = 25,633.65 × 9,215.90
  4. Step 4: Simplify right side
    17,089.10x = 236,237,155.04
  5. Step 5: Solve for x
    x = 236,237,155.04/17,089.10
  6. Step 6: Final answer
    x = 13,823.85

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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.