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Finding the Fourth Proportional to 23,145.70, 34,713.14 and 6,507.33

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Solution

The fourth proportional to 23,145.70, 34,713.14 and 6,507.33 is: 9,759.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,145.70 : 34,713.14 = 6,507.33 : x
  2. Step 2: Convert to fraction form
    23,145.70/34,713.14 = 6,507.33/x
  3. Step 3: Cross multiply
    23,145.70x = 34,713.14 × 6,507.33
  4. Step 4: Simplify right side
    23,145.70x = 225,889,857.32
  5. Step 5: Solve for x
    x = 225,889,857.32/23,145.70
  6. Step 6: Final answer
    x = 9,759.47

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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.