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Finding the Fourth Proportional to 23,265.68, 34,895.63 and 7,469.46

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Solution

The fourth proportional to 23,265.68, 34,895.63 and 7,469.46 is: 11,203.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,265.68 : 34,895.63 = 7,469.46 : x
  2. Step 2: Convert to fraction form
    23,265.68/34,895.63 = 7,469.46/x
  3. Step 3: Cross multiply
    23,265.68x = 34,895.63 × 7,469.46
  4. Step 4: Simplify right side
    23,265.68x = 260,651,475.11
  5. Step 5: Solve for x
    x = 260,651,475.11/23,265.68
  6. Step 6: Final answer
    x = 11,203.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.