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Finding the Fourth Proportional to 13,426.84, 18,529.64 and 7,459.08

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Solution

The fourth proportional to 13,426.84, 18,529.64 and 7,459.08 is: 10,293.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,426.84 : 18,529.64 = 7,459.08 : x
  2. Step 2: Convert to fraction form
    13,426.84/18,529.64 = 7,459.08/x
  3. Step 3: Cross multiply
    13,426.84x = 18,529.64 × 7,459.08
  4. Step 4: Simplify right side
    13,426.84x = 138,214,067.13
  5. Step 5: Solve for x
    x = 138,214,067.13/13,426.84
  6. Step 6: Final answer
    x = 10,293.86

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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.