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Finding the Fourth Proportional to 16,425, 22,653.06 and 10,138.92

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Solution

The fourth proportional to 16,425, 22,653.06 and 10,138.92 is: 13,983.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,425 : 22,653.06 = 10,138.92 : x
  2. Step 2: Convert to fraction form
    16,425/22,653.06 = 10,138.92/x
  3. Step 3: Cross multiply
    16,425x = 22,653.06 × 10,138.92
  4. Step 4: Simplify right side
    16,425x = 229,677,563.10
  5. Step 5: Solve for x
    x = 229,677,563.10/16,425
  6. Step 6: Final answer
    x = 13,983.41

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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.