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Finding the Fourth Proportional to 12,920.90, 19,381.35 and 4,162.10

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Solution

The fourth proportional to 12,920.90, 19,381.35 and 4,162.10 is: 6,243.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.90 : 19,381.35 = 4,162.10 : x
  2. Step 2: Convert to fraction form
    12,920.90/19,381.35 = 4,162.10/x
  3. Step 3: Cross multiply
    12,920.90x = 19,381.35 × 4,162.10
  4. Step 4: Simplify right side
    12,920.90x = 80,667,116.84
  5. Step 5: Solve for x
    x = 80,667,116.84/12,920.90
  6. Step 6: Final answer
    x = 6,243.15

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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.