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Finding the Fourth Proportional to 12,034.02, 16,607.07 and 6,656.19

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Solution

The fourth proportional to 12,034.02, 16,607.07 and 6,656.19 is: 9,185.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,034.02 : 16,607.07 = 6,656.19 : x
  2. Step 2: Convert to fraction form
    12,034.02/16,607.07 = 6,656.19/x
  3. Step 3: Cross multiply
    12,034.02x = 16,607.07 × 6,656.19
  4. Step 4: Simplify right side
    12,034.02x = 110,539,813.26
  5. Step 5: Solve for x
    x = 110,539,813.26/12,034.02
  6. Step 6: Final answer
    x = 9,185.61

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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.