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Finding the Fourth Proportional to 24,757, 34,164.84 and 13,579

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Solution

The fourth proportional to 24,757, 34,164.84 and 13,579 is: 18,739.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,757 : 34,164.84 = 13,579 : x
  2. Step 2: Convert to fraction form
    24,757/34,164.84 = 13,579/x
  3. Step 3: Cross multiply
    24,757x = 34,164.84 × 13,579
  4. Step 4: Simplify right side
    24,757x = 463,924,362.36
  5. Step 5: Solve for x
    x = 463,924,362.36/24,757
  6. Step 6: Final answer
    x = 18,739.12

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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.