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Finding the Fourth Proportional to 17,508.69, 26,267.72 and 7,648.77

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Solution

The fourth proportional to 17,508.69, 26,267.72 and 7,648.77 is: 11,475.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,508.69 : 26,267.72 = 7,648.77 : x
  2. Step 2: Convert to fraction form
    17,508.69/26,267.72 = 7,648.77/x
  3. Step 3: Cross multiply
    17,508.69x = 26,267.72 × 7,648.77
  4. Step 4: Simplify right side
    17,508.69x = 200,915,710.46
  5. Step 5: Solve for x
    x = 200,915,710.46/17,508.69
  6. Step 6: Final answer
    x = 11,475.20

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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.