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Finding the Fourth Proportional to 24,989, 34,484.86 and 13,811

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Solution

The fourth proportional to 24,989, 34,484.86 and 13,811 is: 19,059.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,989 : 34,484.86 = 13,811 : x
  2. Step 2: Convert to fraction form
    24,989/34,484.86 = 13,811/x
  3. Step 3: Cross multiply
    24,989x = 34,484.86 × 13,811
  4. Step 4: Simplify right side
    24,989x = 476,270,401.46
  5. Step 5: Solve for x
    x = 476,270,401.46/24,989
  6. Step 6: Final answer
    x = 19,059.20

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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.