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Finding the Fourth Proportional to 24,440, 33,727.20 and 13,262

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Solution

The fourth proportional to 24,440, 33,727.20 and 13,262 is: 18,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,440 : 33,727.20 = 13,262 : x
  2. Step 2: Convert to fraction form
    24,440/33,727.20 = 13,262/x
  3. Step 3: Cross multiply
    24,440x = 33,727.20 × 13,262
  4. Step 4: Simplify right side
    24,440x = 447,290,126.40
  5. Step 5: Solve for x
    x = 447,290,126.40/24,440
  6. Step 6: Final answer
    x = 18,301.56

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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.