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Finding the Fourth Proportional to 13,866.66, 20,809.08 and 5,101.65

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Solution

The fourth proportional to 13,866.66, 20,809.08 and 5,101.65 is: 7,655.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.66 : 20,809.08 = 5,101.65 : x
  2. Step 2: Convert to fraction form
    13,866.66/20,809.08 = 5,101.65/x
  3. Step 3: Cross multiply
    13,866.66x = 20,809.08 × 5,101.65
  4. Step 4: Simplify right side
    13,866.66x = 106,160,642.98
  5. Step 5: Solve for x
    x = 106,160,642.98/13,866.66
  6. Step 6: Final answer
    x = 7,655.82

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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.