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Finding the Fourth Proportional to 17,537.10, 26,305.65 and 10,538.70

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Solution

The fourth proportional to 17,537.10, 26,305.65 and 10,538.70 is: 15,808.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,537.10 : 26,305.65 = 10,538.70 : x
  2. Step 2: Convert to fraction form
    17,537.10/26,305.65 = 10,538.70/x
  3. Step 3: Cross multiply
    17,537.10x = 26,305.65 × 10,538.70
  4. Step 4: Simplify right side
    17,537.10x = 277,227,353.66
  5. Step 5: Solve for x
    x = 277,227,353.66/17,537.10
  6. Step 6: Final answer
    x = 15,808.05

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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.