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Finding the Fourth Proportional to 24,458.76, 33,751.08 and 13,851

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Solution

The fourth proportional to 24,458.76, 33,751.08 and 13,851 is: 19,113.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,458.76 : 33,751.08 = 13,851 : x
  2. Step 2: Convert to fraction form
    24,458.76/33,751.08 = 13,851/x
  3. Step 3: Cross multiply
    24,458.76x = 33,751.08 × 13,851
  4. Step 4: Simplify right side
    24,458.76x = 467,486,209.08
  5. Step 5: Solve for x
    x = 467,486,209.08/24,458.76
  6. Step 6: Final answer
    x = 19,113.24

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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.