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Finding the Fourth Proportional to 16,813.12, 23,199.90 and 10,006.12

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Solution

The fourth proportional to 16,813.12, 23,199.90 and 10,006.12 is: 13,807.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,813.12 : 23,199.90 = 10,006.12 : x
  2. Step 2: Convert to fraction form
    16,813.12/23,199.90 = 10,006.12/x
  3. Step 3: Cross multiply
    16,813.12x = 23,199.90 × 10,006.12
  4. Step 4: Simplify right side
    16,813.12x = 232,140,983.39
  5. Step 5: Solve for x
    x = 232,140,983.39/16,813.12
  6. Step 6: Final answer
    x = 13,807.13

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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.