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Finding the Fourth Proportional to 13,223.59, 19,835.07 and 5,823.61

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Solution

The fourth proportional to 13,223.59, 19,835.07 and 5,823.61 is: 8,735.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,223.59 : 19,835.07 = 5,823.61 : x
  2. Step 2: Convert to fraction form
    13,223.59/19,835.07 = 5,823.61/x
  3. Step 3: Cross multiply
    13,223.59x = 19,835.07 × 5,823.61
  4. Step 4: Simplify right side
    13,223.59x = 115,511,712.00
  5. Step 5: Solve for x
    x = 115,511,712.00/13,223.59
  6. Step 6: Final answer
    x = 8,735.28

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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.