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Finding the Fourth Proportional to 24,462, 33,757.76 and 13,284

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Solution

The fourth proportional to 24,462, 33,757.76 and 13,284 is: 18,332.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,462 : 33,757.76 = 13,284 : x
  2. Step 2: Convert to fraction form
    24,462/33,757.76 = 13,284/x
  3. Step 3: Cross multiply
    24,462x = 33,757.76 × 13,284
  4. Step 4: Simplify right side
    24,462x = 448,438,117.05
  5. Step 5: Solve for x
    x = 448,438,117.05/24,462
  6. Step 6: Final answer
    x = 18,332.03

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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.