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Finding the Fourth Proportional to 24,141, 33,314.67 and 14,076.39

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Solution

The fourth proportional to 24,141, 33,314.67 and 14,076.39 is: 19,425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,141 : 33,314.67 = 14,076.39 : x
  2. Step 2: Convert to fraction form
    24,141/33,314.67 = 14,076.39/x
  3. Step 3: Cross multiply
    24,141x = 33,314.67 × 14,076.39
  4. Step 4: Simplify right side
    24,141x = 468,950,287.64
  5. Step 5: Solve for x
    x = 468,950,287.64/24,141
  6. Step 6: Final answer
    x = 19,425.47

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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.