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Finding the Fourth Proportional to 12,840.18, 17,720.64 and 7,803.24

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Solution

The fourth proportional to 12,840.18, 17,720.64 and 7,803.24 is: 10,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840.18 : 17,720.64 = 7,803.24 : x
  2. Step 2: Convert to fraction form
    12,840.18/17,720.64 = 7,803.24/x
  3. Step 3: Cross multiply
    12,840.18x = 17,720.64 × 7,803.24
  4. Step 4: Simplify right side
    12,840.18x = 138,278,406.87
  5. Step 5: Solve for x
    x = 138,278,406.87/12,840.18
  6. Step 6: Final answer
    x = 10,769.20

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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.