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Finding the Fourth Proportional to 24,582.70, 33,924 and 13,974.38

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Solution

The fourth proportional to 24,582.70, 33,924 and 13,974.38 is: 19,284.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,582.70 : 33,924 = 13,974.38 : x
  2. Step 2: Convert to fraction form
    24,582.70/33,924 = 13,974.38/x
  3. Step 3: Cross multiply
    24,582.70x = 33,924 × 13,974.38
  4. Step 4: Simplify right side
    24,582.70x = 474,066,867.12
  5. Step 5: Solve for x
    x = 474,066,867.12/24,582.70
  6. Step 6: Final answer
    x = 19,284.57

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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.