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Finding the Fourth Proportional to 13,709.40, 18,893.04 and 9,926.16

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Solution

The fourth proportional to 13,709.40, 18,893.04 and 9,926.16 is: 13,679.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.40 : 18,893.04 = 9,926.16 : x
  2. Step 2: Convert to fraction form
    13,709.40/18,893.04 = 9,926.16/x
  3. Step 3: Cross multiply
    13,709.40x = 18,893.04 × 9,926.16
  4. Step 4: Simplify right side
    13,709.40x = 187,535,337.93
  5. Step 5: Solve for x
    x = 187,535,337.93/13,709.40
  6. Step 6: Final answer
    x = 13,679.32

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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.