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Finding the Fourth Proportional to 13,086.93, 19,626.94 and 5,689.71

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Solution

The fourth proportional to 13,086.93, 19,626.94 and 5,689.71 is: 8,533.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,086.93 : 19,626.94 = 5,689.71 : x
  2. Step 2: Convert to fraction form
    13,086.93/19,626.94 = 5,689.71/x
  3. Step 3: Cross multiply
    13,086.93x = 19,626.94 × 5,689.71
  4. Step 4: Simplify right side
    13,086.93x = 111,671,596.79
  5. Step 5: Solve for x
    x = 111,671,596.79/13,086.93
  6. Step 6: Final answer
    x = 8,533.06

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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.