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Finding the Fourth Proportional to 16,106.90, 22,225.65 and 9,737.33

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Solution

The fourth proportional to 16,106.90, 22,225.65 and 9,737.33 is: 13,436.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,106.90 : 22,225.65 = 9,737.33 : x
  2. Step 2: Convert to fraction form
    16,106.90/22,225.65 = 9,737.33/x
  3. Step 3: Cross multiply
    16,106.90x = 22,225.65 × 9,737.33
  4. Step 4: Simplify right side
    16,106.90x = 216,418,377.39
  5. Step 5: Solve for x
    x = 216,418,377.39/16,106.90
  6. Step 6: Final answer
    x = 13,436.38

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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.