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Finding the Fourth Proportional to 12,356.46, 17,050.84 and 7,319.83

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Solution

The fourth proportional to 12,356.46, 17,050.84 and 7,319.83 is: 10,100.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,356.46 : 17,050.84 = 7,319.83 : x
  2. Step 2: Convert to fraction form
    12,356.46/17,050.84 = 7,319.83/x
  3. Step 3: Cross multiply
    12,356.46x = 17,050.84 × 7,319.83
  4. Step 4: Simplify right side
    12,356.46x = 124,809,229.74
  5. Step 5: Solve for x
    x = 124,809,229.74/12,356.46
  6. Step 6: Final answer
    x = 10,100.73

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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.