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Finding the Fourth Proportional to 12,088.37, 18,132.53 and 6,820.99

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Solution

The fourth proportional to 12,088.37, 18,132.53 and 6,820.99 is: 10,231.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,088.37 : 18,132.53 = 6,820.99 : x
  2. Step 2: Convert to fraction form
    12,088.37/18,132.53 = 6,820.99/x
  3. Step 3: Cross multiply
    12,088.37x = 18,132.53 × 6,820.99
  4. Step 4: Simplify right side
    12,088.37x = 123,681,819.94
  5. Step 5: Solve for x
    x = 123,681,819.94/12,088.37
  6. Step 6: Final answer
    x = 10,231.47

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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.