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Finding the Fourth Proportional to 24,178, 33,364.04 and 13,422.80

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Solution

The fourth proportional to 24,178, 33,364.04 and 13,422.80 is: 18,522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,178 : 33,364.04 = 13,422.80 : x
  2. Step 2: Convert to fraction form
    24,178/33,364.04 = 13,422.80/x
  3. Step 3: Cross multiply
    24,178x = 33,364.04 × 13,422.80
  4. Step 4: Simplify right side
    24,178x = 447,838,836.11
  5. Step 5: Solve for x
    x = 447,838,836.11/24,178
  6. Step 6: Final answer
    x = 18,522.58

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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.