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Finding the Fourth Proportional to 16,783.77, 25,174.33 and 9,759.30

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Solution

The fourth proportional to 16,783.77, 25,174.33 and 9,759.30 is: 14,638.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783.77 : 25,174.33 = 9,759.30 : x
  2. Step 2: Convert to fraction form
    16,783.77/25,174.33 = 9,759.30/x
  3. Step 3: Cross multiply
    16,783.77x = 25,174.33 × 9,759.30
  4. Step 4: Simplify right side
    16,783.77x = 245,683,719.97
  5. Step 5: Solve for x
    x = 245,683,719.97/16,783.77
  6. Step 6: Final answer
    x = 14,638.17

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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.