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Finding the Fourth Proportional to 24,107.40, 33,267.24 and 14,036.14

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Solution

The fourth proportional to 24,107.40, 33,267.24 and 14,036.14 is: 19,369.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,107.40 : 33,267.24 = 14,036.14 : x
  2. Step 2: Convert to fraction form
    24,107.40/33,267.24 = 14,036.14/x
  3. Step 3: Cross multiply
    24,107.40x = 33,267.24 × 14,036.14
  4. Step 4: Simplify right side
    24,107.40x = 466,943,638.05
  5. Step 5: Solve for x
    x = 466,943,638.05/24,107.40
  6. Step 6: Final answer
    x = 19,369.31

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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.