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Finding the Fourth Proportional to 12,871.60, 19,314.01 and 9,750.57

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Solution

The fourth proportional to 12,871.60, 19,314.01 and 9,750.57 is: 14,630.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,871.60 : 19,314.01 = 9,750.57 : x
  2. Step 2: Convert to fraction form
    12,871.60/19,314.01 = 9,750.57/x
  3. Step 3: Cross multiply
    12,871.60x = 19,314.01 × 9,750.57
  4. Step 4: Simplify right side
    12,871.60x = 188,322,606.49
  5. Step 5: Solve for x
    x = 188,322,606.49/12,871.60
  6. Step 6: Final answer
    x = 14,630.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.