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Finding the Fourth Proportional to 12,407.25, 18,613.91 and 6,170.20

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Solution

The fourth proportional to 12,407.25, 18,613.91 and 6,170.20 is: 9,256.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,407.25 : 18,613.91 = 6,170.20 : x
  2. Step 2: Convert to fraction form
    12,407.25/18,613.91 = 6,170.20/x
  3. Step 3: Cross multiply
    12,407.25x = 18,613.91 × 6,170.20
  4. Step 4: Simplify right side
    12,407.25x = 114,851,547.48
  5. Step 5: Solve for x
    x = 114,851,547.48/12,407.25
  6. Step 6: Final answer
    x = 9,256.81

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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.