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Finding the Fourth Proportional to 12,561.30, 17,342.10 and 7,851.96

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Solution

The fourth proportional to 12,561.30, 17,342.10 and 7,851.96 is: 10,840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,561.30 : 17,342.10 = 7,851.96 : x
  2. Step 2: Convert to fraction form
    12,561.30/17,342.10 = 7,851.96/x
  3. Step 3: Cross multiply
    12,561.30x = 17,342.10 × 7,851.96
  4. Step 4: Simplify right side
    12,561.30x = 136,169,475.52
  5. Step 5: Solve for x
    x = 136,169,475.52/12,561.30
  6. Step 6: Final answer
    x = 10,840.40

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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.