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Finding the Fourth Proportional to 16,113, 22,228.38 and 11,399.88

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Solution

The fourth proportional to 16,113, 22,228.38 and 11,399.88 is: 15,726.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,113 : 22,228.38 = 11,399.88 : x
  2. Step 2: Convert to fraction form
    16,113/22,228.38 = 11,399.88/x
  3. Step 3: Cross multiply
    16,113x = 22,228.38 × 11,399.88
  4. Step 4: Simplify right side
    16,113x = 253,400,864.59
  5. Step 5: Solve for x
    x = 253,400,864.59/16,113
  6. Step 6: Final answer
    x = 15,726.49

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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.