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Finding the Fourth Proportional to 24,896.50, 37,337.23 and 7,126.06

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Solution

The fourth proportional to 24,896.50, 37,337.23 and 7,126.06 is: 10,686.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,896.50 : 37,337.23 = 7,126.06 : x
  2. Step 2: Convert to fraction form
    24,896.50/37,337.23 = 7,126.06/x
  3. Step 3: Cross multiply
    24,896.50x = 37,337.23 × 7,126.06
  4. Step 4: Simplify right side
    24,896.50x = 266,067,341.21
  5. Step 5: Solve for x
    x = 266,067,341.21/24,896.50
  6. Step 6: Final answer
    x = 10,686.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.