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Finding the Fourth Proportional to 12,734.16, 19,102.16 and 5,331.18

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Solution

The fourth proportional to 12,734.16, 19,102.16 and 5,331.18 is: 7,997.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,734.16 : 19,102.16 = 5,331.18 : x
  2. Step 2: Convert to fraction form
    12,734.16/19,102.16 = 5,331.18/x
  3. Step 3: Cross multiply
    12,734.16x = 19,102.16 × 5,331.18
  4. Step 4: Simplify right side
    12,734.16x = 101,837,053.35
  5. Step 5: Solve for x
    x = 101,837,053.35/12,734.16
  6. Step 6: Final answer
    x = 7,997.16

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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.