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Finding the Fourth Proportional to 23,456.79, 35,176.34 and 7,658.15

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Solution

The fourth proportional to 23,456.79, 35,176.34 and 7,658.15 is: 11,484.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,456.79 : 35,176.34 = 7,658.15 : x
  2. Step 2: Convert to fraction form
    23,456.79/35,176.34 = 7,658.15/x
  3. Step 3: Cross multiply
    23,456.79x = 35,176.34 × 7,658.15
  4. Step 4: Simplify right side
    23,456.79x = 269,385,531.43
  5. Step 5: Solve for x
    x = 269,385,531.43/23,456.79
  6. Step 6: Final answer
    x = 11,484.33

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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.