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Finding the Fourth Proportional to 16,203.10, 22,354.14 and 10,232.50

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Solution

The fourth proportional to 16,203.10, 22,354.14 and 10,232.50 is: 14,116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,203.10 : 22,354.14 = 10,232.50 : x
  2. Step 2: Convert to fraction form
    16,203.10/22,354.14 = 10,232.50/x
  3. Step 3: Cross multiply
    16,203.10x = 22,354.14 × 10,232.50
  4. Step 4: Simplify right side
    16,203.10x = 228,738,737.55
  5. Step 5: Solve for x
    x = 228,738,737.55/16,203.10
  6. Step 6: Final answer
    x = 14,116.97

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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.