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Finding the Fourth Proportional to 23,100.64, 34,655.23 and 7,309.65

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Solution

The fourth proportional to 23,100.64, 34,655.23 and 7,309.65 is: 10,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,100.64 : 34,655.23 = 7,309.65 : x
  2. Step 2: Convert to fraction form
    23,100.64/34,655.23 = 7,309.65/x
  3. Step 3: Cross multiply
    23,100.64x = 34,655.23 × 7,309.65
  4. Step 4: Simplify right side
    23,100.64x = 253,317,428.69
  5. Step 5: Solve for x
    x = 253,317,428.69/23,100.64
  6. Step 6: Final answer
    x = 10,965.82

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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.