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Finding the Fourth Proportional to 23,407.41, 35,094.72 and 8,614.41

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Solution

The fourth proportional to 23,407.41, 35,094.72 and 8,614.41 is: 12,915.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,407.41 : 35,094.72 = 8,614.41 : x
  2. Step 2: Convert to fraction form
    23,407.41/35,094.72 = 8,614.41/x
  3. Step 3: Cross multiply
    23,407.41x = 35,094.72 × 8,614.41
  4. Step 4: Simplify right side
    23,407.41x = 302,320,257.86
  5. Step 5: Solve for x
    x = 302,320,257.86/23,407.41
  6. Step 6: Final answer
    x = 12,915.58

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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.