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Finding the Fourth Proportional to 12,407.36, 17,122.05 and 6,742.08

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Solution

The fourth proportional to 12,407.36, 17,122.05 and 6,742.08 is: 9,304.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.36 : 17,122.05 = 6,742.08 : x
  2. Step 2: Convert to fraction form
    12,407.36/17,122.05 = 6,742.08/x
  3. Step 3: Cross multiply
    12,407.36x = 17,122.05 × 6,742.08
  4. Step 4: Simplify right side
    12,407.36x = 115,438,230.86
  5. Step 5: Solve for x
    x = 115,438,230.86/12,407.36
  6. Step 6: Final answer
    x = 9,304.02

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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.