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Finding the Fourth Proportional to 16,977.62, 23,429.32 and 9,424.10

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Solution

The fourth proportional to 16,977.62, 23,429.32 and 9,424.10 is: 13,005.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,977.62 : 23,429.32 = 9,424.10 : x
  2. Step 2: Convert to fraction form
    16,977.62/23,429.32 = 9,424.10/x
  3. Step 3: Cross multiply
    16,977.62x = 23,429.32 × 9,424.10
  4. Step 4: Simplify right side
    16,977.62x = 220,800,254.61
  5. Step 5: Solve for x
    x = 220,800,254.61/16,977.62
  6. Step 6: Final answer
    x = 13,005.37

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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.