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Finding the Fourth Proportional to 24,492, 33,799.50 and 13,314

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Solution

The fourth proportional to 24,492, 33,799.50 and 13,314 is: 18,373.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,492 : 33,799.50 = 13,314 : x
  2. Step 2: Convert to fraction form
    24,492/33,799.50 = 13,314/x
  3. Step 3: Cross multiply
    24,492x = 33,799.50 × 13,314
  4. Step 4: Simplify right side
    24,492x = 450,006,543
  5. Step 5: Solve for x
    x = 450,006,543/24,492
  6. Step 6: Final answer
    x = 18,373.61

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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.