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Finding the Fourth Proportional to 24,466, 33,763.08 and 13,288

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Solution

The fourth proportional to 24,466, 33,763.08 and 13,288 is: 18,337.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,466 : 33,763.08 = 13,288 : x
  2. Step 2: Convert to fraction form
    24,466/33,763.08 = 13,288/x
  3. Step 3: Cross multiply
    24,466x = 33,763.08 × 13,288
  4. Step 4: Simplify right side
    24,466x = 448,643,807.04
  5. Step 5: Solve for x
    x = 448,643,807.04/24,466
  6. Step 6: Final answer
    x = 18,337.44

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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.