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Finding the Fourth Proportional to 24,416.78, 33,695.82 and 13,808

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Solution

The fourth proportional to 24,416.78, 33,695.82 and 13,808 is: 19,055.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416.78 : 33,695.82 = 13,808 : x
  2. Step 2: Convert to fraction form
    24,416.78/33,695.82 = 13,808/x
  3. Step 3: Cross multiply
    24,416.78x = 33,695.82 × 13,808
  4. Step 4: Simplify right side
    24,416.78x = 465,271,882.56
  5. Step 5: Solve for x
    x = 465,271,882.56/24,416.78
  6. Step 6: Final answer
    x = 19,055.42

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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.