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Finding the Fourth Proportional to 13,706.24, 18,914.40 and 8,117.12

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Solution

The fourth proportional to 13,706.24, 18,914.40 and 8,117.12 is: 11,201.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.24 : 18,914.40 = 8,117.12 : x
  2. Step 2: Convert to fraction form
    13,706.24/18,914.40 = 8,117.12/x
  3. Step 3: Cross multiply
    13,706.24x = 18,914.40 × 8,117.12
  4. Step 4: Simplify right side
    13,706.24x = 153,530,454.53
  5. Step 5: Solve for x
    x = 153,530,454.53/13,706.24
  6. Step 6: Final answer
    x = 11,201.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.