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Finding the Fourth Proportional to 12,147.48, 18,230.10 and 7,775.64

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Solution

The fourth proportional to 12,147.48, 18,230.10 and 7,775.64 is: 11,669.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.48 : 18,230.10 = 7,775.64 : x
  2. Step 2: Convert to fraction form
    12,147.48/18,230.10 = 7,775.64/x
  3. Step 3: Cross multiply
    12,147.48x = 18,230.10 × 7,775.64
  4. Step 4: Simplify right side
    12,147.48x = 141,750,694.76
  5. Step 5: Solve for x
    x = 141,750,694.76/12,147.48
  6. Step 6: Final answer
    x = 11,669.14

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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.