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Finding the Fourth Proportional to 14,624.97, 21,937.51 and 3,531.66

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Solution

The fourth proportional to 14,624.97, 21,937.51 and 3,531.66 is: 5,297.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,624.97 : 21,937.51 = 3,531.66 : x
  2. Step 2: Convert to fraction form
    14,624.97/21,937.51 = 3,531.66/x
  3. Step 3: Cross multiply
    14,624.97x = 21,937.51 × 3,531.66
  4. Step 4: Simplify right side
    14,624.97x = 77,475,826.57
  5. Step 5: Solve for x
    x = 77,475,826.57/14,624.97
  6. Step 6: Final answer
    x = 5,297.50

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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.