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Finding the Fourth Proportional to 29,424.24, 44,133.93 and 13,626

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Solution

The fourth proportional to 29,424.24, 44,133.93 and 13,626 is: 20,437.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,424.24 : 44,133.93 = 13,626 : x
  2. Step 2: Convert to fraction form
    29,424.24/44,133.93 = 13,626/x
  3. Step 3: Cross multiply
    29,424.24x = 44,133.93 × 13,626
  4. Step 4: Simplify right side
    29,424.24x = 601,368,930.18
  5. Step 5: Solve for x
    x = 601,368,930.18/29,424.24
  6. Step 6: Final answer
    x = 20,437.87

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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.