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Finding the Fourth Proportional to 24,442.84, 33,730.95 and 13,264.84

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Solution

The fourth proportional to 24,442.84, 33,730.95 and 13,264.84 is: 18,305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,442.84 : 33,730.95 = 13,264.84 : x
  2. Step 2: Convert to fraction form
    24,442.84/33,730.95 = 13,264.84/x
  3. Step 3: Cross multiply
    24,442.84x = 33,730.95 × 13,264.84
  4. Step 4: Simplify right side
    24,442.84x = 447,435,654.80
  5. Step 5: Solve for x
    x = 447,435,654.80/24,442.84
  6. Step 6: Final answer
    x = 18,305.39

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1.5x scale

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.