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Finding the Fourth Proportional to 16,395.71, 22,618.38 and 9,676.76

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Solution

The fourth proportional to 16,395.71, 22,618.38 and 9,676.76 is: 13,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,395.71 : 22,618.38 = 9,676.76 : x
  2. Step 2: Convert to fraction form
    16,395.71/22,618.38 = 9,676.76/x
  3. Step 3: Cross multiply
    16,395.71x = 22,618.38 × 9,676.76
  4. Step 4: Simplify right side
    16,395.71x = 218,872,521.76
  5. Step 5: Solve for x
    x = 218,872,521.76/16,395.71
  6. Step 6: Final answer
    x = 13,349.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.