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Finding the Fourth Proportional to 11,144.74, 16,702.35 and 9,299.50

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Solution

The fourth proportional to 11,144.74, 16,702.35 and 9,299.50 is: 13,936.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,144.74 : 16,702.35 = 9,299.50 : x
  2. Step 2: Convert to fraction form
    11,144.74/16,702.35 = 9,299.50/x
  3. Step 3: Cross multiply
    11,144.74x = 16,702.35 × 9,299.50
  4. Step 4: Simplify right side
    11,144.74x = 155,323,503.83
  5. Step 5: Solve for x
    x = 155,323,503.83/11,144.74
  6. Step 6: Final answer
    x = 13,936.93

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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.