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Finding the Fourth Proportional to 16,923.96, 25,384.14 and 7,564.32

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Solution

The fourth proportional to 16,923.96, 25,384.14 and 7,564.32 is: 11,345.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,923.96 : 25,384.14 = 7,564.32 : x
  2. Step 2: Convert to fraction form
    16,923.96/25,384.14 = 7,564.32/x
  3. Step 3: Cross multiply
    16,923.96x = 25,384.14 × 7,564.32
  4. Step 4: Simplify right side
    16,923.96x = 192,013,757.88
  5. Step 5: Solve for x
    x = 192,013,757.88/16,923.96
  6. Step 6: Final answer
    x = 11,345.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.