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Finding the Fourth Proportional to 12,856.10, 17,741.04 and 7,190.84

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Solution

The fourth proportional to 12,856.10, 17,741.04 and 7,190.84 is: 9,923.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.10 : 17,741.04 = 7,190.84 : x
  2. Step 2: Convert to fraction form
    12,856.10/17,741.04 = 7,190.84/x
  3. Step 3: Cross multiply
    12,856.10x = 17,741.04 × 7,190.84
  4. Step 4: Simplify right side
    12,856.10x = 127,572,980.07
  5. Step 5: Solve for x
    x = 127,572,980.07/12,856.10
  6. Step 6: Final answer
    x = 9,923.15

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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.