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Finding the Fourth Proportional to 12,010.42, 16,573.62 and 6,705.16

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Solution

The fourth proportional to 12,010.42, 16,573.62 and 6,705.16 is: 9,252.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,010.42 : 16,573.62 = 6,705.16 : x
  2. Step 2: Convert to fraction form
    12,010.42/16,573.62 = 6,705.16/x
  3. Step 3: Cross multiply
    12,010.42x = 16,573.62 × 6,705.16
  4. Step 4: Simplify right side
    12,010.42x = 111,128,773.88
  5. Step 5: Solve for x
    x = 111,128,773.88/12,010.42
  6. Step 6: Final answer
    x = 9,252.70

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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.