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Finding the Fourth Proportional to 24,317.90, 33,557.73 and 13,709.74

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Solution

The fourth proportional to 24,317.90, 33,557.73 and 13,709.74 is: 18,918.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,317.90 : 33,557.73 = 13,709.74 : x
  2. Step 2: Convert to fraction form
    24,317.90/33,557.73 = 13,709.74/x
  3. Step 3: Cross multiply
    24,317.90x = 33,557.73 × 13,709.74
  4. Step 4: Simplify right side
    24,317.90x = 460,067,753.29
  5. Step 5: Solve for x
    x = 460,067,753.29/24,317.90
  6. Step 6: Final answer
    x = 18,918.89

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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.