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Finding the Fourth Proportional to 24,356.97, 33,615.71 and 13,746.38

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Solution

The fourth proportional to 24,356.97, 33,615.71 and 13,746.38 is: 18,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,356.97 : 33,615.71 = 13,746.38 : x
  2. Step 2: Convert to fraction form
    24,356.97/33,615.71 = 13,746.38/x
  3. Step 3: Cross multiply
    24,356.97x = 33,615.71 × 13,746.38
  4. Step 4: Simplify right side
    24,356.97x = 462,094,138.37
  5. Step 5: Solve for x
    x = 462,094,138.37/24,356.97
  6. Step 6: Final answer
    x = 18,971.74

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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.