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Finding the Fourth Proportional to 12,083.20, 16,674.95 and 6,705.74

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Solution

The fourth proportional to 12,083.20, 16,674.95 and 6,705.74 is: 9,254.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,083.20 : 16,674.95 = 6,705.74 : x
  2. Step 2: Convert to fraction form
    12,083.20/16,674.95 = 6,705.74/x
  3. Step 3: Cross multiply
    12,083.20x = 16,674.95 × 6,705.74
  4. Step 4: Simplify right side
    12,083.20x = 111,817,879.21
  5. Step 5: Solve for x
    x = 111,817,879.21/12,083.20
  6. Step 6: Final answer
    x = 9,254.00

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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.