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Finding the Fourth Proportional to 24,356.75, 33,612.32 and 13,178.75

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Solution

The fourth proportional to 24,356.75, 33,612.32 and 13,178.75 is: 18,186.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,356.75 : 33,612.32 = 13,178.75 : x
  2. Step 2: Convert to fraction form
    24,356.75/33,612.32 = 13,178.75/x
  3. Step 3: Cross multiply
    24,356.75x = 33,612.32 × 13,178.75
  4. Step 4: Simplify right side
    24,356.75x = 442,968,362.20
  5. Step 5: Solve for x
    x = 442,968,362.20/24,356.75
  6. Step 6: Final answer
    x = 18,186.68

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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.