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Finding the Fourth Proportional to 16,200.45, 22,356.45 and 9,126.86

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Solution

The fourth proportional to 16,200.45, 22,356.45 and 9,126.86 is: 12,594.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200.45 : 22,356.45 = 9,126.86 : x
  2. Step 2: Convert to fraction form
    16,200.45/22,356.45 = 9,126.86/x
  3. Step 3: Cross multiply
    16,200.45x = 22,356.45 × 9,126.86
  4. Step 4: Simplify right side
    16,200.45x = 204,044,077.46
  5. Step 5: Solve for x
    x = 204,044,077.46/16,200.45
  6. Step 6: Final answer
    x = 12,594.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.