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Finding the Fourth Proportional to 13,169.85, 19,754.79 and 5,378.66

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Solution

The fourth proportional to 13,169.85, 19,754.79 and 5,378.66 is: 8,068.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,169.85 : 19,754.79 = 5,378.66 : x
  2. Step 2: Convert to fraction form
    13,169.85/19,754.79 = 5,378.66/x
  3. Step 3: Cross multiply
    13,169.85x = 19,754.79 × 5,378.66
  4. Step 4: Simplify right side
    13,169.85x = 106,254,257.26
  5. Step 5: Solve for x
    x = 106,254,257.26/13,169.85
  6. Step 6: Final answer
    x = 8,068.00

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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.