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Finding the Fourth Proportional to 12,642.48, 17,436.74 and 8,166.69

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Solution

The fourth proportional to 12,642.48, 17,436.74 and 8,166.69 is: 11,263.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,642.48 : 17,436.74 = 8,166.69 : x
  2. Step 2: Convert to fraction form
    12,642.48/17,436.74 = 8,166.69/x
  3. Step 3: Cross multiply
    12,642.48x = 17,436.74 × 8,166.69
  4. Step 4: Simplify right side
    12,642.48x = 142,400,409.36
  5. Step 5: Solve for x
    x = 142,400,409.36/12,642.48
  6. Step 6: Final answer
    x = 11,263.65

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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.