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Finding the Fourth Proportional to 24,885, 34,341.36 and 13,707

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Solution

The fourth proportional to 24,885, 34,341.36 and 13,707 is: 18,915.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,885 : 34,341.36 = 13,707 : x
  2. Step 2: Convert to fraction form
    24,885/34,341.36 = 13,707/x
  3. Step 3: Cross multiply
    24,885x = 34,341.36 × 13,707
  4. Step 4: Simplify right side
    24,885x = 470,717,021.52
  5. Step 5: Solve for x
    x = 470,717,021.52/24,885
  6. Step 6: Final answer
    x = 18,915.69

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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.