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Finding the Fourth Proportional to 16,388.10, 24,582.29 and 10,166.22

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Solution

The fourth proportional to 16,388.10, 24,582.29 and 10,166.22 is: 15,249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,388.10 : 24,582.29 = 10,166.22 : x
  2. Step 2: Convert to fraction form
    16,388.10/24,582.29 = 10,166.22/x
  3. Step 3: Cross multiply
    16,388.10x = 24,582.29 × 10,166.22
  4. Step 4: Simplify right side
    16,388.10x = 249,908,917.41
  5. Step 5: Solve for x
    x = 249,908,917.41/16,388.10
  6. Step 6: Final answer
    x = 15,249.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.