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Finding the Fourth Proportional to 17,509.72, 26,265.11 and 5,663.16

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Solution

The fourth proportional to 17,509.72, 26,265.11 and 5,663.16 is: 8,494.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,509.72 : 26,265.11 = 5,663.16 : x
  2. Step 2: Convert to fraction form
    17,509.72/26,265.11 = 5,663.16/x
  3. Step 3: Cross multiply
    17,509.72x = 26,265.11 × 5,663.16
  4. Step 4: Simplify right side
    17,509.72x = 148,743,520.35
  5. Step 5: Solve for x
    x = 148,743,520.35/17,509.72
  6. Step 6: Final answer
    x = 8,494.91

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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.