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Finding the Fourth Proportional to 24,392.96, 33,662.95 and 13,782.38

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Solution

The fourth proportional to 24,392.96, 33,662.95 and 13,782.38 is: 19,020.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,392.96 : 33,662.95 = 13,782.38 : x
  2. Step 2: Convert to fraction form
    24,392.96/33,662.95 = 13,782.38/x
  3. Step 3: Cross multiply
    24,392.96x = 33,662.95 × 13,782.38
  4. Step 4: Simplify right side
    24,392.96x = 463,955,568.82
  5. Step 5: Solve for x
    x = 463,955,568.82/24,392.96
  6. Step 6: Final answer
    x = 19,020.06

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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.