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Finding the Fourth Proportional to 16,822.16, 23,212.28 and 10,015.12

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Solution

The fourth proportional to 16,822.16, 23,212.28 and 10,015.12 is: 13,819.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822.16 : 23,212.28 = 10,015.12 : x
  2. Step 2: Convert to fraction form
    16,822.16/23,212.28 = 10,015.12/x
  3. Step 3: Cross multiply
    16,822.16x = 23,212.28 × 10,015.12
  4. Step 4: Simplify right side
    16,822.16x = 232,473,769.67
  5. Step 5: Solve for x
    x = 232,473,769.67/16,822.16
  6. Step 6: Final answer
    x = 13,819.50

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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.