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Finding the Fourth Proportional to 16,228.86, 22,396 and 9,518.46

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Solution

The fourth proportional to 16,228.86, 22,396 and 9,518.46 is: 13,135.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,228.86 : 22,396 = 9,518.46 : x
  2. Step 2: Convert to fraction form
    16,228.86/22,396 = 9,518.46/x
  3. Step 3: Cross multiply
    16,228.86x = 22,396 × 9,518.46
  4. Step 4: Simplify right side
    16,228.86x = 213,175,430.16
  5. Step 5: Solve for x
    x = 213,175,430.16/16,228.86
  6. Step 6: Final answer
    x = 13,135.58

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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.