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Finding the Fourth Proportional to 13,938.50, 19,235.14 and 7,651.28

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Solution

The fourth proportional to 13,938.50, 19,235.14 and 7,651.28 is: 10,558.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,938.50 : 19,235.14 = 7,651.28 : x
  2. Step 2: Convert to fraction form
    13,938.50/19,235.14 = 7,651.28/x
  3. Step 3: Cross multiply
    13,938.50x = 19,235.14 × 7,651.28
  4. Step 4: Simplify right side
    13,938.50x = 147,173,441.98
  5. Step 5: Solve for x
    x = 147,173,441.98/13,938.50
  6. Step 6: Final answer
    x = 10,558.77

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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.