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Finding the Fourth Proportional to 12,451.86, 17,182.53 and 7,145.55

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Solution

The fourth proportional to 12,451.86, 17,182.53 and 7,145.55 is: 9,860.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,451.86 : 17,182.53 = 7,145.55 : x
  2. Step 2: Convert to fraction form
    12,451.86/17,182.53 = 7,145.55/x
  3. Step 3: Cross multiply
    12,451.86x = 17,182.53 × 7,145.55
  4. Step 4: Simplify right side
    12,451.86x = 122,778,627.24
  5. Step 5: Solve for x
    x = 122,778,627.24/12,451.86
  6. Step 6: Final answer
    x = 9,860.26

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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.