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Finding the Fourth Proportional to 13,426.13, 18,529.08 and 7,458.86

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Solution

The fourth proportional to 13,426.13, 18,529.08 and 7,458.86 is: 10,293.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,426.13 : 18,529.08 = 7,458.86 : x
  2. Step 2: Convert to fraction form
    13,426.13/18,529.08 = 7,458.86/x
  3. Step 3: Cross multiply
    13,426.13x = 18,529.08 × 7,458.86
  4. Step 4: Simplify right side
    13,426.13x = 138,205,813.65
  5. Step 5: Solve for x
    x = 138,205,813.65/13,426.13
  6. Step 6: Final answer
    x = 10,293.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.