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Finding the Fourth Proportional to 24,470.25, 33,771.83 and 14,534.25

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Solution

The fourth proportional to 24,470.25, 33,771.83 and 14,534.25 is: 20,058.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,470.25 : 33,771.83 = 14,534.25 : x
  2. Step 2: Convert to fraction form
    24,470.25/33,771.83 = 14,534.25/x
  3. Step 3: Cross multiply
    24,470.25x = 33,771.83 × 14,534.25
  4. Step 4: Simplify right side
    24,470.25x = 490,848,147.51
  5. Step 5: Solve for x
    x = 490,848,147.51/24,470.25
  6. Step 6: Final answer
    x = 20,058.98

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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.