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Finding the Fourth Proportional to 23,307.98, 34,976.00 and 9,265.46

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Solution

The fourth proportional to 23,307.98, 34,976.00 and 9,265.46 is: 13,903.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,307.98 : 34,976.00 = 9,265.46 : x
  2. Step 2: Convert to fraction form
    23,307.98/34,976.00 = 9,265.46/x
  3. Step 3: Cross multiply
    23,307.98x = 34,976.00 × 9,265.46
  4. Step 4: Simplify right side
    23,307.98x = 324,068,577.24
  5. Step 5: Solve for x
    x = 324,068,577.24/23,307.98
  6. Step 6: Final answer
    x = 13,903.76

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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.