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Finding the Fourth Proportional to 23,631.84, 32,612.04 and 13,021.38

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Solution

The fourth proportional to 23,631.84, 32,612.04 and 13,021.38 is: 17,969.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,631.84 : 32,612.04 = 13,021.38 : x
  2. Step 2: Convert to fraction form
    23,631.84/32,612.04 = 13,021.38/x
  3. Step 3: Cross multiply
    23,631.84x = 32,612.04 × 13,021.38
  4. Step 4: Simplify right side
    23,631.84x = 424,653,765.42
  5. Step 5: Solve for x
    x = 424,653,765.42/23,631.84
  6. Step 6: Final answer
    x = 17,969.56

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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.