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Finding the Fourth Proportional to 24,993.36, 37,464 and 11,830.08

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Solution

The fourth proportional to 24,993.36, 37,464 and 11,830.08 is: 17,732.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,993.36 : 37,464 = 11,830.08 : x
  2. Step 2: Convert to fraction form
    24,993.36/37,464 = 11,830.08/x
  3. Step 3: Cross multiply
    24,993.36x = 37,464 × 11,830.08
  4. Step 4: Simplify right side
    24,993.36x = 443,202,117.12
  5. Step 5: Solve for x
    x = 443,202,117.12/24,993.36
  6. Step 6: Final answer
    x = 17,732.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.