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Finding the Fourth Proportional to 24,290.49, 33,520.94 and 14,083.50

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Solution

The fourth proportional to 24,290.49, 33,520.94 and 14,083.50 is: 19,435.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,290.49 : 33,520.94 = 14,083.50 : x
  2. Step 2: Convert to fraction form
    24,290.49/33,520.94 = 14,083.50/x
  3. Step 3: Cross multiply
    24,290.49x = 33,520.94 × 14,083.50
  4. Step 4: Simplify right side
    24,290.49x = 472,092,345.81
  5. Step 5: Solve for x
    x = 472,092,345.81/24,290.49
  6. Step 6: Final answer
    x = 19,435.27

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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.