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Finding the Fourth Proportional to 15,877.28, 23,814.64 and 6,514.64

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Solution

The fourth proportional to 15,877.28, 23,814.64 and 6,514.64 is: 9,771.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,877.28 : 23,814.64 = 6,514.64 : x
  2. Step 2: Convert to fraction form
    15,877.28/23,814.64 = 6,514.64/x
  3. Step 3: Cross multiply
    15,877.28x = 23,814.64 × 6,514.64
  4. Step 4: Simplify right side
    15,877.28x = 155,143,806.33
  5. Step 5: Solve for x
    x = 155,143,806.33/15,877.28
  6. Step 6: Final answer
    x = 9,771.43

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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.