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Finding the Fourth Proportional to 24,776, 34,191 and 13,598

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Solution

The fourth proportional to 24,776, 34,191 and 13,598 is: 18,765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,776 : 34,191 = 13,598 : x
  2. Step 2: Convert to fraction form
    24,776/34,191 = 13,598/x
  3. Step 3: Cross multiply
    24,776x = 34,191 × 13,598
  4. Step 4: Simplify right side
    24,776x = 464,929,218
  5. Step 5: Solve for x
    x = 464,929,218/24,776
  6. Step 6: Final answer
    x = 18,765.31

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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.