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Finding the Fourth Proportional to 12,677.16, 19,013.52 and 3,441

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Solution

The fourth proportional to 12,677.16, 19,013.52 and 3,441 is: 5,160.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,677.16 : 19,013.52 = 3,441 : x
  2. Step 2: Convert to fraction form
    12,677.16/19,013.52 = 3,441/x
  3. Step 3: Cross multiply
    12,677.16x = 19,013.52 × 3,441
  4. Step 4: Simplify right side
    12,677.16x = 65,425,522.32
  5. Step 5: Solve for x
    x = 65,425,522.32/12,677.16
  6. Step 6: Final answer
    x = 5,160.90

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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.