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Finding the Fourth Proportional to 12,642.85, 17,443.37 and 8,162.51

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Solution

The fourth proportional to 12,642.85, 17,443.37 and 8,162.51 is: 11,261.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.85 : 17,443.37 = 8,162.51 : x
  2. Step 2: Convert to fraction form
    12,642.85/17,443.37 = 8,162.51/x
  3. Step 3: Cross multiply
    12,642.85x = 17,443.37 × 8,162.51
  4. Step 4: Simplify right side
    12,642.85x = 142,381,641.25
  5. Step 5: Solve for x
    x = 142,381,641.25/12,642.85
  6. Step 6: Final answer
    x = 11,261.84

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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.