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Finding the Fourth Proportional to 12,407.72, 18,607.60 and 4,085.82

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Solution

The fourth proportional to 12,407.72, 18,607.60 and 4,085.82 is: 6,127.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.72 : 18,607.60 = 4,085.82 : x
  2. Step 2: Convert to fraction form
    12,407.72/18,607.60 = 4,085.82/x
  3. Step 3: Cross multiply
    12,407.72x = 18,607.60 × 4,085.82
  4. Step 4: Simplify right side
    12,407.72x = 76,027,304.23
  5. Step 5: Solve for x
    x = 76,027,304.23/12,407.72
  6. Step 6: Final answer
    x = 6,127.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.