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Finding the Fourth Proportional to 15,509.82, 23,269.62 and 5,128.86

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Solution

The fourth proportional to 15,509.82, 23,269.62 and 5,128.86 is: 7,694.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.82 : 23,269.62 = 5,128.86 : x
  2. Step 2: Convert to fraction form
    15,509.82/23,269.62 = 5,128.86/x
  3. Step 3: Cross multiply
    15,509.82x = 23,269.62 × 5,128.86
  4. Step 4: Simplify right side
    15,509.82x = 119,346,623.23
  5. Step 5: Solve for x
    x = 119,346,623.23/15,509.82
  6. Step 6: Final answer
    x = 7,694.91

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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.