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Finding the Fourth Proportional to 12,237.32, 18,345.38 and 7,296.57

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Solution

The fourth proportional to 12,237.32, 18,345.38 and 7,296.57 is: 10,938.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,237.32 : 18,345.38 = 7,296.57 : x
  2. Step 2: Convert to fraction form
    12,237.32/18,345.38 = 7,296.57/x
  3. Step 3: Cross multiply
    12,237.32x = 18,345.38 × 7,296.57
  4. Step 4: Simplify right side
    12,237.32x = 133,858,312.86
  5. Step 5: Solve for x
    x = 133,858,312.86/12,237.32
  6. Step 6: Final answer
    x = 10,938.54

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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.