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Finding the Fourth Proportional to 12,876.08, 19,314.30 and 3,642.08

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Solution

The fourth proportional to 12,876.08, 19,314.30 and 3,642.08 is: 5,463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,876.08 : 19,314.30 = 3,642.08 : x
  2. Step 2: Convert to fraction form
    12,876.08/19,314.30 = 3,642.08/x
  3. Step 3: Cross multiply
    12,876.08x = 19,314.30 × 3,642.08
  4. Step 4: Simplify right side
    12,876.08x = 70,344,225.74
  5. Step 5: Solve for x
    x = 70,344,225.74/12,876.08
  6. Step 6: Final answer
    x = 5,463.17

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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.