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Finding the Fourth Proportional to 13,223.96, 19,842.90 and 5,833.52

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Solution

The fourth proportional to 13,223.96, 19,842.90 and 5,833.52 is: 8,753.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.96 : 19,842.90 = 5,833.52 : x
  2. Step 2: Convert to fraction form
    13,223.96/19,842.90 = 5,833.52/x
  3. Step 3: Cross multiply
    13,223.96x = 19,842.90 × 5,833.52
  4. Step 4: Simplify right side
    13,223.96x = 115,753,954.01
  5. Step 5: Solve for x
    x = 115,753,954.01/13,223.96
  6. Step 6: Final answer
    x = 8,753.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.