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Finding the Fourth Proportional to 24,054.52, 33,187.86 and 13,981

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Solution

The fourth proportional to 24,054.52, 33,187.86 and 13,981 is: 19,289.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,054.52 : 33,187.86 = 13,981 : x
  2. Step 2: Convert to fraction form
    24,054.52/33,187.86 = 13,981/x
  3. Step 3: Cross multiply
    24,054.52x = 33,187.86 × 13,981
  4. Step 4: Simplify right side
    24,054.52x = 463,999,470.66
  5. Step 5: Solve for x
    x = 463,999,470.66/24,054.52
  6. Step 6: Final answer
    x = 19,289.49

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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.