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Finding the Fourth Proportional to 16,357.90, 22,572.21 and 9,188.62

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Solution

The fourth proportional to 16,357.90, 22,572.21 and 9,188.62 is: 12,679.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,357.90 : 22,572.21 = 9,188.62 : x
  2. Step 2: Convert to fraction form
    16,357.90/22,572.21 = 9,188.62/x
  3. Step 3: Cross multiply
    16,357.90x = 22,572.21 × 9,188.62
  4. Step 4: Simplify right side
    16,357.90x = 207,407,347.39
  5. Step 5: Solve for x
    x = 207,407,347.39/16,357.90
  6. Step 6: Final answer
    x = 12,679.34

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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.