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Finding the Fourth Proportional to 23,902.71, 32,986.64 and 13,293.11

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Solution

The fourth proportional to 23,902.71, 32,986.64 and 13,293.11 is: 18,344.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,902.71 : 32,986.64 = 13,293.11 : x
  2. Step 2: Convert to fraction form
    23,902.71/32,986.64 = 13,293.11/x
  3. Step 3: Cross multiply
    23,902.71x = 32,986.64 × 13,293.11
  4. Step 4: Simplify right side
    23,902.71x = 438,494,902.35
  5. Step 5: Solve for x
    x = 438,494,902.35/23,902.71
  6. Step 6: Final answer
    x = 18,344.99

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Why These Related Problems?

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