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Finding the Fourth Proportional to 16,212.96, 24,363.18 and 9,203.63

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Solution

The fourth proportional to 16,212.96, 24,363.18 and 9,203.63 is: 13,830.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212.96 : 24,363.18 = 9,203.63 : x
  2. Step 2: Convert to fraction form
    16,212.96/24,363.18 = 9,203.63/x
  3. Step 3: Cross multiply
    16,212.96x = 24,363.18 × 9,203.63
  4. Step 4: Simplify right side
    16,212.96x = 224,229,572.53
  5. Step 5: Solve for x
    x = 224,229,572.53/16,212.96
  6. Step 6: Final answer
    x = 13,830.27

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