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Finding the Fourth Proportional to 12,906.85, 19,356.54 and 3,547.17

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Solution

The fourth proportional to 12,906.85, 19,356.54 and 3,547.17 is: 5,319.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,906.85 : 19,356.54 = 3,547.17 : x
  2. Step 2: Convert to fraction form
    12,906.85/19,356.54 = 3,547.17/x
  3. Step 3: Cross multiply
    12,906.85x = 19,356.54 × 3,547.17
  4. Step 4: Simplify right side
    12,906.85x = 68,660,995.25
  5. Step 5: Solve for x
    x = 68,660,995.25/12,906.85
  6. Step 6: Final answer
    x = 5,319.73

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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.