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Finding the Fourth Proportional to 16,807.37, 23,193.92 and 10,006.14

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Solution

The fourth proportional to 16,807.37, 23,193.92 and 10,006.14 is: 13,808.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,807.37 : 23,193.92 = 10,006.14 : x
  2. Step 2: Convert to fraction form
    16,807.37/23,193.92 = 10,006.14/x
  3. Step 3: Cross multiply
    16,807.37x = 23,193.92 × 10,006.14
  4. Step 4: Simplify right side
    16,807.37x = 232,081,610.67
  5. Step 5: Solve for x
    x = 232,081,610.67/16,807.37
  6. Step 6: Final answer
    x = 13,808.32

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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.