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Finding the Fourth Proportional to 12,613.88, 17,407.50 and 7,025.24

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Solution

The fourth proportional to 12,613.88, 17,407.50 and 7,025.24 is: 9,695.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,613.88 : 17,407.50 = 7,025.24 : x
  2. Step 2: Convert to fraction form
    12,613.88/17,407.50 = 7,025.24/x
  3. Step 3: Cross multiply
    12,613.88x = 17,407.50 × 7,025.24
  4. Step 4: Simplify right side
    12,613.88x = 122,291,865.30
  5. Step 5: Solve for x
    x = 122,291,865.30/12,613.88
  6. Step 6: Final answer
    x = 9,695.02

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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.