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Finding the Fourth Proportional to 17,689.04, 26,529.72 and 6,002

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Solution

The fourth proportional to 17,689.04, 26,529.72 and 6,002 is: 9,001.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,689.04 : 26,529.72 = 6,002 : x
  2. Step 2: Convert to fraction form
    17,689.04/26,529.72 = 6,002/x
  3. Step 3: Cross multiply
    17,689.04x = 26,529.72 × 6,002
  4. Step 4: Simplify right side
    17,689.04x = 159,231,379.44
  5. Step 5: Solve for x
    x = 159,231,379.44/17,689.04
  6. Step 6: Final answer
    x = 9,001.70

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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.