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Finding the Fourth Proportional to 14,789.32, 22,184 and 8,629

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Solution

The fourth proportional to 14,789.32, 22,184 and 8,629 is: 12,943.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,789.32 : 22,184 = 8,629 : x
  2. Step 2: Convert to fraction form
    14,789.32/22,184 = 8,629/x
  3. Step 3: Cross multiply
    14,789.32x = 22,184 × 8,629
  4. Step 4: Simplify right side
    14,789.32x = 191,425,736
  5. Step 5: Solve for x
    x = 191,425,736/14,789.32
  6. Step 6: Final answer
    x = 12,943.51

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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.