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Finding the Fourth Proportional to 23,911.65, 32,996.97 and 13,302

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Solution

The fourth proportional to 23,911.65, 32,996.97 and 13,302 is: 18,356.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,911.65 : 32,996.97 = 13,302 : x
  2. Step 2: Convert to fraction form
    23,911.65/32,996.97 = 13,302/x
  3. Step 3: Cross multiply
    23,911.65x = 32,996.97 × 13,302
  4. Step 4: Simplify right side
    23,911.65x = 438,925,694.94
  5. Step 5: Solve for x
    x = 438,925,694.94/23,911.65
  6. Step 6: Final answer
    x = 18,356.14

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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.