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Finding the Fourth Proportional to 24,724, 34,119.12 and 14,788

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Solution

The fourth proportional to 24,724, 34,119.12 and 14,788 is: 20,407.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,724 : 34,119.12 = 14,788 : x
  2. Step 2: Convert to fraction form
    24,724/34,119.12 = 14,788/x
  3. Step 3: Cross multiply
    24,724x = 34,119.12 × 14,788
  4. Step 4: Simplify right side
    24,724x = 504,553,546.56
  5. Step 5: Solve for x
    x = 504,553,546.56/24,724
  6. Step 6: Final answer
    x = 20,407.44

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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.