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Finding the Fourth Proportional to 23,299.16, 32,162.10 and 16,229.48

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Solution

The fourth proportional to 23,299.16, 32,162.10 and 16,229.48 is: 22,403.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,299.16 : 32,162.10 = 16,229.48 : x
  2. Step 2: Convert to fraction form
    23,299.16/32,162.10 = 16,229.48/x
  3. Step 3: Cross multiply
    23,299.16x = 32,162.10 × 16,229.48
  4. Step 4: Simplify right side
    23,299.16x = 521,974,158.71
  5. Step 5: Solve for x
    x = 521,974,158.71/23,299.16
  6. Step 6: Final answer
    x = 22,403.13

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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.