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Finding the Fourth Proportional to 24,421, 33,701 and 13,243

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Solution

The fourth proportional to 24,421, 33,701 and 13,243 is: 18,275.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,421 : 33,701 = 13,243 : x
  2. Step 2: Convert to fraction form
    24,421/33,701 = 13,243/x
  3. Step 3: Cross multiply
    24,421x = 33,701 × 13,243
  4. Step 4: Simplify right side
    24,421x = 446,302,343
  5. Step 5: Solve for x
    x = 446,302,343/24,421
  6. Step 6: Final answer
    x = 18,275.35

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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.