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Finding the Fourth Proportional to 16,820.32, 23,223.22 and 10,456.42

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Solution

The fourth proportional to 16,820.32, 23,223.22 and 10,456.42 is: 14,436.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,820.32 : 23,223.22 = 10,456.42 : x
  2. Step 2: Convert to fraction form
    16,820.32/23,223.22 = 10,456.42/x
  3. Step 3: Cross multiply
    16,820.32x = 23,223.22 × 10,456.42
  4. Step 4: Simplify right side
    16,820.32x = 242,831,742.07
  5. Step 5: Solve for x
    x = 242,831,742.07/16,820.32
  6. Step 6: Final answer
    x = 14,436.81

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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.