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Finding the Fourth Proportional to 24,468, 33,765.84 and 13,290

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Solution

The fourth proportional to 24,468, 33,765.84 and 13,290 is: 18,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,468 : 33,765.84 = 13,290 : x
  2. Step 2: Convert to fraction form
    24,468/33,765.84 = 13,290/x
  3. Step 3: Cross multiply
    24,468x = 33,765.84 × 13,290
  4. Step 4: Simplify right side
    24,468x = 448,748,013.60
  5. Step 5: Solve for x
    x = 448,748,013.60/24,468
  6. Step 6: Final answer
    x = 18,340.20

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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.