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Finding the Fourth Proportional to 14,689.26, 22,032.17 and 4,826.12

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Solution

The fourth proportional to 14,689.26, 22,032.17 and 4,826.12 is: 7,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,689.26 : 22,032.17 = 4,826.12 : x
  2. Step 2: Convert to fraction form
    14,689.26/22,032.17 = 4,826.12/x
  3. Step 3: Cross multiply
    14,689.26x = 22,032.17 × 4,826.12
  4. Step 4: Simplify right side
    14,689.26x = 106,329,780.09
  5. Step 5: Solve for x
    x = 106,329,780.09/14,689.26
  6. Step 6: Final answer
    x = 7,238.61

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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.