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Finding the Fourth Proportional to 12,856.92, 19,271.34 and 5,057.16

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Solution

The fourth proportional to 12,856.92, 19,271.34 and 5,057.16 is: 7,580.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.92 : 19,271.34 = 5,057.16 : x
  2. Step 2: Convert to fraction form
    12,856.92/19,271.34 = 5,057.16/x
  3. Step 3: Cross multiply
    12,856.92x = 19,271.34 × 5,057.16
  4. Step 4: Simplify right side
    12,856.92x = 97,458,249.79
  5. Step 5: Solve for x
    x = 97,458,249.79/12,856.92
  6. Step 6: Final answer
    x = 7,580.22

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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.