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Finding the Fourth Proportional to 13,327.83, 19,969.83 and 4,557.96

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Solution

The fourth proportional to 13,327.83, 19,969.83 and 4,557.96 is: 6,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,327.83 : 19,969.83 = 4,557.96 : x
  2. Step 2: Convert to fraction form
    13,327.83/19,969.83 = 4,557.96/x
  3. Step 3: Cross multiply
    13,327.83x = 19,969.83 × 4,557.96
  4. Step 4: Simplify right side
    13,327.83x = 91,021,686.35
  5. Step 5: Solve for x
    x = 91,021,686.35/13,327.83
  6. Step 6: Final answer
    x = 6,829.45

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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.