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Finding the Fourth Proportional to 11,784.88, 17,709.72 and 11,014.30

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Solution

The fourth proportional to 11,784.88, 17,709.72 and 11,014.30 is: 16,551.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,784.88 : 17,709.72 = 11,014.30 : x
  2. Step 2: Convert to fraction form
    11,784.88/17,709.72 = 11,014.30/x
  3. Step 3: Cross multiply
    11,784.88x = 17,709.72 × 11,014.30
  4. Step 4: Simplify right side
    11,784.88x = 195,060,169.00
  5. Step 5: Solve for x
    x = 195,060,169.00/11,784.88
  6. Step 6: Final answer
    x = 16,551.73

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Why These Related Problems?

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