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Finding the Fourth Proportional to 23,305.69, 34,963.10 and 9,263.10

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Solution

The fourth proportional to 23,305.69, 34,963.10 and 9,263.10 is: 13,896.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,305.69 : 34,963.10 = 9,263.10 : x
  2. Step 2: Convert to fraction form
    23,305.69/34,963.10 = 9,263.10/x
  3. Step 3: Cross multiply
    23,305.69x = 34,963.10 × 9,263.10
  4. Step 4: Simplify right side
    23,305.69x = 323,866,714.77
  5. Step 5: Solve for x
    x = 323,866,714.77/23,305.69
  6. Step 6: Final answer
    x = 13,896.47

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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.