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Finding the Fourth Proportional to 12,522.78, 18,784.78 and 10,327.50

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Solution

The fourth proportional to 12,522.78, 18,784.78 and 10,327.50 is: 15,491.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,522.78 : 18,784.78 = 10,327.50 : x
  2. Step 2: Convert to fraction form
    12,522.78/18,784.78 = 10,327.50/x
  3. Step 3: Cross multiply
    12,522.78x = 18,784.78 × 10,327.50
  4. Step 4: Simplify right side
    12,522.78x = 193,999,815.45
  5. Step 5: Solve for x
    x = 193,999,815.45/12,522.78
  6. Step 6: Final answer
    x = 15,491.75

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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.