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Finding the Fourth Proportional to 12,347.34, 17,034.74 and 8,100.77

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Solution

The fourth proportional to 12,347.34, 17,034.74 and 8,100.77 is: 11,176.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.34 : 17,034.74 = 8,100.77 : x
  2. Step 2: Convert to fraction form
    12,347.34/17,034.74 = 8,100.77/x
  3. Step 3: Cross multiply
    12,347.34x = 17,034.74 × 8,100.77
  4. Step 4: Simplify right side
    12,347.34x = 137,994,425.58
  5. Step 5: Solve for x
    x = 137,994,425.58/12,347.34
  6. Step 6: Final answer
    x = 11,176.04

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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.