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Finding the Fourth Proportional to 23,012, 34,514.56 and 7,427.52

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Solution

The fourth proportional to 23,012, 34,514.56 and 7,427.52 is: 11,140.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,012 : 34,514.56 = 7,427.52 : x
  2. Step 2: Convert to fraction form
    23,012/34,514.56 = 7,427.52/x
  3. Step 3: Cross multiply
    23,012x = 34,514.56 × 7,427.52
  4. Step 4: Simplify right side
    23,012x = 256,357,584.69
  5. Step 5: Solve for x
    x = 256,357,584.69/23,012
  6. Step 6: Final answer
    x = 11,140.17

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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.