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Finding the Fourth Proportional to 24,470, 33,768.60 and 13,292

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Solution

The fourth proportional to 24,470, 33,768.60 and 13,292 is: 18,342.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,470 : 33,768.60 = 13,292 : x
  2. Step 2: Convert to fraction form
    24,470/33,768.60 = 13,292/x
  3. Step 3: Cross multiply
    24,470x = 33,768.60 × 13,292
  4. Step 4: Simplify right side
    24,470x = 448,852,231.20
  5. Step 5: Solve for x
    x = 448,852,231.20/24,470
  6. Step 6: Final answer
    x = 18,342.96

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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.