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Finding the Fourth Proportional to 12,253.78, 18,374.19 and 5,324.50

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Solution

The fourth proportional to 12,253.78, 18,374.19 and 5,324.50 is: 7,983.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,253.78 : 18,374.19 = 5,324.50 : x
  2. Step 2: Convert to fraction form
    12,253.78/18,374.19 = 5,324.50/x
  3. Step 3: Cross multiply
    12,253.78x = 18,374.19 × 5,324.50
  4. Step 4: Simplify right side
    12,253.78x = 97,833,374.66
  5. Step 5: Solve for x
    x = 97,833,374.66/12,253.78
  6. Step 6: Final answer
    x = 7,983.93

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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.