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Finding the Fourth Proportional to 23,658.96, 32,649.60 and 13,049

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Solution

The fourth proportional to 23,658.96, 32,649.60 and 13,049 is: 18,007.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,658.96 : 32,649.60 = 13,049 : x
  2. Step 2: Convert to fraction form
    23,658.96/32,649.60 = 13,049/x
  3. Step 3: Cross multiply
    23,658.96x = 32,649.60 × 13,049
  4. Step 4: Simplify right side
    23,658.96x = 426,044,630.40
  5. Step 5: Solve for x
    x = 426,044,630.40/23,658.96
  6. Step 6: Final answer
    x = 18,007.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.