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Finding the Fourth Proportional to 23,118.24, 34,678.84 and 7,323.86

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Solution

The fourth proportional to 23,118.24, 34,678.84 and 7,323.86 is: 10,986.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,118.24 : 34,678.84 = 7,323.86 : x
  2. Step 2: Convert to fraction form
    23,118.24/34,678.84 = 7,323.86/x
  3. Step 3: Cross multiply
    23,118.24x = 34,678.84 × 7,323.86
  4. Step 4: Simplify right side
    23,118.24x = 253,982,969.12
  5. Step 5: Solve for x
    x = 253,982,969.12/23,118.24
  6. Step 6: Final answer
    x = 10,986.26

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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.