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Finding the Fourth Proportional to 12,142.87, 16,756.71 and 6,765.18

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Solution

The fourth proportional to 12,142.87, 16,756.71 and 6,765.18 is: 9,335.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,142.87 : 16,756.71 = 6,765.18 : x
  2. Step 2: Convert to fraction form
    12,142.87/16,756.71 = 6,765.18/x
  3. Step 3: Cross multiply
    12,142.87x = 16,756.71 × 6,765.18
  4. Step 4: Simplify right side
    12,142.87x = 113,362,159.36
  5. Step 5: Solve for x
    x = 113,362,159.36/12,142.87
  6. Step 6: Final answer
    x = 9,335.70

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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.