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Finding the Fourth Proportional to 16,099.88, 22,210.27 and 11,386.76

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Solution

The fourth proportional to 16,099.88, 22,210.27 and 11,386.76 is: 15,708.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,099.88 : 22,210.27 = 11,386.76 : x
  2. Step 2: Convert to fraction form
    16,099.88/22,210.27 = 11,386.76/x
  3. Step 3: Cross multiply
    16,099.88x = 22,210.27 × 11,386.76
  4. Step 4: Simplify right side
    16,099.88x = 252,902,874.51
  5. Step 5: Solve for x
    x = 252,902,874.51/16,099.88
  6. Step 6: Final answer
    x = 15,708.38

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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.