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Finding the Fourth Proportional to 15,758.78, 23,614.32 and 9,511.82

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Solution

The fourth proportional to 15,758.78, 23,614.32 and 9,511.82 is: 14,253.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758.78 : 23,614.32 = 9,511.82 : x
  2. Step 2: Convert to fraction form
    15,758.78/23,614.32 = 9,511.82/x
  3. Step 3: Cross multiply
    15,758.78x = 23,614.32 × 9,511.82
  4. Step 4: Simplify right side
    15,758.78x = 224,615,161.26
  5. Step 5: Solve for x
    x = 224,615,161.26/15,758.78
  6. Step 6: Final answer
    x = 14,253.33

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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.