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Finding the Fourth Proportional to 12,712.14, 19,065.51 and 8,025.87

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Solution

The fourth proportional to 12,712.14, 19,065.51 and 8,025.87 is: 12,037.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,712.14 : 19,065.51 = 8,025.87 : x
  2. Step 2: Convert to fraction form
    12,712.14/19,065.51 = 8,025.87/x
  3. Step 3: Cross multiply
    12,712.14x = 19,065.51 × 8,025.87
  4. Step 4: Simplify right side
    12,712.14x = 153,017,304.74
  5. Step 5: Solve for x
    x = 153,017,304.74/12,712.14
  6. Step 6: Final answer
    x = 12,037.10

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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.