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Finding the Fourth Proportional to 16,289.93, 22,478.15 and 9,575.03

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Solution

The fourth proportional to 16,289.93, 22,478.15 and 9,575.03 is: 13,212.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,289.93 : 22,478.15 = 9,575.03 : x
  2. Step 2: Convert to fraction form
    16,289.93/22,478.15 = 9,575.03/x
  3. Step 3: Cross multiply
    16,289.93x = 22,478.15 × 9,575.03
  4. Step 4: Simplify right side
    16,289.93x = 215,228,800.33
  5. Step 5: Solve for x
    x = 215,228,800.33/16,289.93
  6. Step 6: Final answer
    x = 13,212.39

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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.