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Finding the Fourth Proportional to 24,969, 34,459.41 and 13,793.16

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Solution

The fourth proportional to 24,969, 34,459.41 and 13,793.16 is: 19,035.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,969 : 34,459.41 = 13,793.16 : x
  2. Step 2: Convert to fraction form
    24,969/34,459.41 = 13,793.16/x
  3. Step 3: Cross multiply
    24,969x = 34,459.41 × 13,793.16
  4. Step 4: Simplify right side
    24,969x = 475,304,155.64
  5. Step 5: Solve for x
    x = 475,304,155.64/24,969
  6. Step 6: Final answer
    x = 19,035.77

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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.