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Finding the Fourth Proportional to 12,129.86, 18,199.11 and 5,200.58

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Solution

The fourth proportional to 12,129.86, 18,199.11 and 5,200.58 is: 7,802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,129.86 : 18,199.11 = 5,200.58 : x
  2. Step 2: Convert to fraction form
    12,129.86/18,199.11 = 5,200.58/x
  3. Step 3: Cross multiply
    12,129.86x = 18,199.11 × 5,200.58
  4. Step 4: Simplify right side
    12,129.86x = 94,645,927.48
  5. Step 5: Solve for x
    x = 94,645,927.48/12,129.86
  6. Step 6: Final answer
    x = 7,802.72

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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.