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Finding the Fourth Proportional to 23,118.94, 34,679.76 and 6,478.48

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Solution

The fourth proportional to 23,118.94, 34,679.76 and 6,478.48 is: 9,718.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,118.94 : 34,679.76 = 6,478.48 : x
  2. Step 2: Convert to fraction form
    23,118.94/34,679.76 = 6,478.48/x
  3. Step 3: Cross multiply
    23,118.94x = 34,679.76 × 6,478.48
  4. Step 4: Simplify right side
    23,118.94x = 224,672,131.56
  5. Step 5: Solve for x
    x = 224,672,131.56/23,118.94
  6. Step 6: Final answer
    x = 9,718.10

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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.