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Finding the Fourth Proportional to 24,783.81, 34,203.71 and 14,175.49

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Solution

The fourth proportional to 24,783.81, 34,203.71 and 14,175.49 is: 19,563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,783.81 : 34,203.71 = 14,175.49 : x
  2. Step 2: Convert to fraction form
    24,783.81/34,203.71 = 14,175.49/x
  3. Step 3: Cross multiply
    24,783.81x = 34,203.71 × 14,175.49
  4. Step 4: Simplify right side
    24,783.81x = 484,854,107.17
  5. Step 5: Solve for x
    x = 484,854,107.17/24,783.81
  6. Step 6: Final answer
    x = 19,563.34

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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.