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Finding the Fourth Proportional to 17,537.70, 26,314.35 and 9,215.70

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Solution

The fourth proportional to 17,537.70, 26,314.35 and 9,215.70 is: 13,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.70 : 26,314.35 = 9,215.70 : x
  2. Step 2: Convert to fraction form
    17,537.70/26,314.35 = 9,215.70/x
  3. Step 3: Cross multiply
    17,537.70x = 26,314.35 × 9,215.70
  4. Step 4: Simplify right side
    17,537.70x = 242,505,155.30
  5. Step 5: Solve for x
    x = 242,505,155.30/17,537.70
  6. Step 6: Final answer
    x = 13,827.65

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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.