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Finding the Fourth Proportional to 15,606.25, 23,423.24 and 7,290.86

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Solution

The fourth proportional to 15,606.25, 23,423.24 and 7,290.86 is: 10,942.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,606.25 : 23,423.24 = 7,290.86 : x
  2. Step 2: Convert to fraction form
    15,606.25/23,423.24 = 7,290.86/x
  3. Step 3: Cross multiply
    15,606.25x = 23,423.24 × 7,290.86
  4. Step 4: Simplify right side
    15,606.25x = 170,775,464.70
  5. Step 5: Solve for x
    x = 170,775,464.70/15,606.25
  6. Step 6: Final answer
    x = 10,942.76

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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.