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Finding the Fourth Proportional to 13,722.40, 18,936.93 and 7,434.77

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Solution

The fourth proportional to 13,722.40, 18,936.93 and 7,434.77 is: 10,259.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.40 : 18,936.93 = 7,434.77 : x
  2. Step 2: Convert to fraction form
    13,722.40/18,936.93 = 7,434.77/x
  3. Step 3: Cross multiply
    13,722.40x = 18,936.93 × 7,434.77
  4. Step 4: Simplify right side
    13,722.40x = 140,791,681.88
  5. Step 5: Solve for x
    x = 140,791,681.88/13,722.40
  6. Step 6: Final answer
    x = 10,259.99

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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.