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Finding the Fourth Proportional to 12,674.02, 17,490.72 and 7,085.02

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Solution

The fourth proportional to 12,674.02, 17,490.72 and 7,085.02 is: 9,777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.02 : 17,490.72 = 7,085.02 : x
  2. Step 2: Convert to fraction form
    12,674.02/17,490.72 = 7,085.02/x
  3. Step 3: Cross multiply
    12,674.02x = 17,490.72 × 7,085.02
  4. Step 4: Simplify right side
    12,674.02x = 123,922,101.01
  5. Step 5: Solve for x
    x = 123,922,101.01/12,674.02
  6. Step 6: Final answer
    x = 9,777.65

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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.