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Finding the Fourth Proportional to 29,210.74, 43,826.28 and 9,223.31

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Solution

The fourth proportional to 29,210.74, 43,826.28 and 9,223.31 is: 13,838.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,210.74 : 43,826.28 = 9,223.31 : x
  2. Step 2: Convert to fraction form
    29,210.74/43,826.28 = 9,223.31/x
  3. Step 3: Cross multiply
    29,210.74x = 43,826.28 × 9,223.31
  4. Step 4: Simplify right side
    29,210.74x = 404,223,366.59
  5. Step 5: Solve for x
    x = 404,223,366.59/29,210.74
  6. Step 6: Final answer
    x = 13,838.18

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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.