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Finding the Fourth Proportional to 13,671.87, 18,866.94 and 7,703.40

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Solution

The fourth proportional to 13,671.87, 18,866.94 and 7,703.40 is: 10,630.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,671.87 : 18,866.94 = 7,703.40 : x
  2. Step 2: Convert to fraction form
    13,671.87/18,866.94 = 7,703.40/x
  3. Step 3: Cross multiply
    13,671.87x = 18,866.94 × 7,703.40
  4. Step 4: Simplify right side
    13,671.87x = 145,339,585.60
  5. Step 5: Solve for x
    x = 145,339,585.60/13,671.87
  6. Step 6: Final answer
    x = 10,630.56

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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.