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Finding the Fourth Proportional to 23,658.15, 32,649.21 and 13,048.46

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Solution

The fourth proportional to 23,658.15, 32,649.21 and 13,048.46 is: 18,007.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,658.15 : 32,649.21 = 13,048.46 : x
  2. Step 2: Convert to fraction form
    23,658.15/32,649.21 = 13,048.46/x
  3. Step 3: Cross multiply
    23,658.15x = 32,649.21 × 13,048.46
  4. Step 4: Simplify right side
    23,658.15x = 426,021,747.47
  5. Step 5: Solve for x
    x = 426,021,747.47/23,658.15
  6. Step 6: Final answer
    x = 18,007.40

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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.