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Finding the Fourth Proportional to 13,774.22, 19,008.42 and 8,185.22

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Solution

The fourth proportional to 13,774.22, 19,008.42 and 8,185.22 is: 11,295.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.22 : 19,008.42 = 8,185.22 : x
  2. Step 2: Convert to fraction form
    13,774.22/19,008.42 = 8,185.22/x
  3. Step 3: Cross multiply
    13,774.22x = 19,008.42 × 8,185.22
  4. Step 4: Simplify right side
    13,774.22x = 155,588,091.14
  5. Step 5: Solve for x
    x = 155,588,091.14/13,774.22
  6. Step 6: Final answer
    x = 11,295.60

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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.