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Finding the Fourth Proportional to 12,886.87, 19,331.49 and 4,002.25

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Solution

The fourth proportional to 12,886.87, 19,331.49 and 4,002.25 is: 6,003.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,886.87 : 19,331.49 = 4,002.25 : x
  2. Step 2: Convert to fraction form
    12,886.87/19,331.49 = 4,002.25/x
  3. Step 3: Cross multiply
    12,886.87x = 19,331.49 × 4,002.25
  4. Step 4: Simplify right side
    12,886.87x = 77,369,435.84
  5. Step 5: Solve for x
    x = 77,369,435.84/12,886.87
  6. Step 6: Final answer
    x = 6,003.74

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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.