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Finding the Fourth Proportional to 13,102.83, 19,641.42 and 5,202.71

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Solution

The fourth proportional to 13,102.83, 19,641.42 and 5,202.71 is: 7,798.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.83 : 19,641.42 = 5,202.71 : x
  2. Step 2: Convert to fraction form
    13,102.83/19,641.42 = 5,202.71/x
  3. Step 3: Cross multiply
    13,102.83x = 19,641.42 × 5,202.71
  4. Step 4: Simplify right side
    13,102.83x = 102,188,698.18
  5. Step 5: Solve for x
    x = 102,188,698.18/13,102.83
  6. Step 6: Final answer
    x = 7,798.98

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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.