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Finding the Fourth Proportional to 24,394.71, 33,664.26 and 13,784.11

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Solution

The fourth proportional to 24,394.71, 33,664.26 and 13,784.11 is: 19,021.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,394.71 : 33,664.26 = 13,784.11 : x
  2. Step 2: Convert to fraction form
    24,394.71/33,664.26 = 13,784.11/x
  3. Step 3: Cross multiply
    24,394.71x = 33,664.26 × 13,784.11
  4. Step 4: Simplify right side
    24,394.71x = 464,031,862.91
  5. Step 5: Solve for x
    x = 464,031,862.91/24,394.71
  6. Step 6: Final answer
    x = 19,021.82

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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.