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Finding the Fourth Proportional to 13,715.98, 18,928.02 and 7,428.32

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Solution

The fourth proportional to 13,715.98, 18,928.02 and 7,428.32 is: 10,251.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715.98 : 18,928.02 = 7,428.32 : x
  2. Step 2: Convert to fraction form
    13,715.98/18,928.02 = 7,428.32/x
  3. Step 3: Cross multiply
    13,715.98x = 18,928.02 × 7,428.32
  4. Step 4: Simplify right side
    13,715.98x = 140,603,389.53
  5. Step 5: Solve for x
    x = 140,603,389.53/13,715.98
  6. Step 6: Final answer
    x = 10,251.06

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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.