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Finding the Fourth Proportional to 16,822.96, 23,202.04 and 14,802.01

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Solution

The fourth proportional to 16,822.96, 23,202.04 and 14,802.01 is: 20,414.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.96 : 23,202.04 = 14,802.01 : x
  2. Step 2: Convert to fraction form
    16,822.96/23,202.04 = 14,802.01/x
  3. Step 3: Cross multiply
    16,822.96x = 23,202.04 × 14,802.01
  4. Step 4: Simplify right side
    16,822.96x = 343,436,828.10
  5. Step 5: Solve for x
    x = 343,436,828.10/16,822.96
  6. Step 6: Final answer
    x = 20,414.77

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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.