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Finding the Fourth Proportional to 12,861.16, 17,703.46 and 11,202.28

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Solution

The fourth proportional to 12,861.16, 17,703.46 and 11,202.28 is: 15,420.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,861.16 : 17,703.46 = 11,202.28 : x
  2. Step 2: Convert to fraction form
    12,861.16/17,703.46 = 11,202.28/x
  3. Step 3: Cross multiply
    12,861.16x = 17,703.46 × 11,202.28
  4. Step 4: Simplify right side
    12,861.16x = 198,319,115.89
  5. Step 5: Solve for x
    x = 198,319,115.89/12,861.16
  6. Step 6: Final answer
    x = 15,420.00

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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.