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Finding the Fourth Proportional to 29,264.85, 43,920.14 and 11,746.17

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Solution

The fourth proportional to 29,264.85, 43,920.14 and 11,746.17 is: 17,628.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,264.85 : 43,920.14 = 11,746.17 : x
  2. Step 2: Convert to fraction form
    29,264.85/43,920.14 = 11,746.17/x
  3. Step 3: Cross multiply
    29,264.85x = 43,920.14 × 11,746.17
  4. Step 4: Simplify right side
    29,264.85x = 515,893,372.13
  5. Step 5: Solve for x
    x = 515,893,372.13/29,264.85
  6. Step 6: Final answer
    x = 17,628.43

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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.