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Finding the Fourth Proportional to 13,223.95, 19,842.89 and 5,833.51

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Solution

The fourth proportional to 13,223.95, 19,842.89 and 5,833.51 is: 8,753.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.95 : 19,842.89 = 5,833.51 : x
  2. Step 2: Convert to fraction form
    13,223.95/19,842.89 = 5,833.51/x
  3. Step 3: Cross multiply
    13,223.95x = 19,842.89 × 5,833.51
  4. Step 4: Simplify right side
    13,223.95x = 115,753,697.24
  5. Step 5: Solve for x
    x = 115,753,697.24/13,223.95
  6. Step 6: Final answer
    x = 8,753.34

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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.