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Finding the Fourth Proportional to 12,856.02, 17,741.18 and 7,190.78

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Solution

The fourth proportional to 12,856.02, 17,741.18 and 7,190.78 is: 9,923.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.02 : 17,741.18 = 7,190.78 : x
  2. Step 2: Convert to fraction form
    12,856.02/17,741.18 = 7,190.78/x
  3. Step 3: Cross multiply
    12,856.02x = 17,741.18 × 7,190.78
  4. Step 4: Simplify right side
    12,856.02x = 127,572,811.14
  5. Step 5: Solve for x
    x = 127,572,811.14/12,856.02
  6. Step 6: Final answer
    x = 9,923.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.