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Finding the Fourth Proportional to 24,392, 33,662.40 and 13,781.36

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Solution

The fourth proportional to 24,392, 33,662.40 and 13,781.36 is: 19,019.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,392 : 33,662.40 = 13,781.36 : x
  2. Step 2: Convert to fraction form
    24,392/33,662.40 = 13,781.36/x
  3. Step 3: Cross multiply
    24,392x = 33,662.40 × 13,781.36
  4. Step 4: Simplify right side
    24,392x = 463,913,652.86
  5. Step 5: Solve for x
    x = 463,913,652.86/24,392
  6. Step 6: Final answer
    x = 19,019.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.