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Finding the Fourth Proportional to 12,409.47, 18,610.24 and 4,087.63

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Solution

The fourth proportional to 12,409.47, 18,610.24 and 4,087.63 is: 6,130.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.47 : 18,610.24 = 4,087.63 : x
  2. Step 2: Convert to fraction form
    12,409.47/18,610.24 = 4,087.63/x
  3. Step 3: Cross multiply
    12,409.47x = 18,610.24 × 4,087.63
  4. Step 4: Simplify right side
    12,409.47x = 76,071,775.33
  5. Step 5: Solve for x
    x = 76,071,775.33/12,409.47
  6. Step 6: Final answer
    x = 6,130.14

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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.