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Finding the Fourth Proportional to 23,563.92, 32,524.32 and 14,606.16

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Solution

The fourth proportional to 23,563.92, 32,524.32 and 14,606.16 is: 20,160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,563.92 : 32,524.32 = 14,606.16 : x
  2. Step 2: Convert to fraction form
    23,563.92/32,524.32 = 14,606.16/x
  3. Step 3: Cross multiply
    23,563.92x = 32,524.32 × 14,606.16
  4. Step 4: Simplify right side
    23,563.92x = 475,055,421.81
  5. Step 5: Solve for x
    x = 475,055,421.81/23,563.92
  6. Step 6: Final answer
    x = 20,160.29

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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.