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Finding the Fourth Proportional to 12,345.89, 18,524.90 and 5,772.53

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Solution

The fourth proportional to 12,345.89, 18,524.90 and 5,772.53 is: 8,661.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,345.89 : 18,524.90 = 5,772.53 : x
  2. Step 2: Convert to fraction form
    12,345.89/18,524.90 = 5,772.53/x
  3. Step 3: Cross multiply
    12,345.89x = 18,524.90 × 5,772.53
  4. Step 4: Simplify right side
    12,345.89x = 106,935,601.74
  5. Step 5: Solve for x
    x = 106,935,601.74/12,345.89
  6. Step 6: Final answer
    x = 8,661.64

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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.