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Finding the Fourth Proportional to 22,642.35, 33,973.14 and 12,109.64

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Solution

The fourth proportional to 22,642.35, 33,973.14 and 12,109.64 is: 18,169.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,642.35 : 33,973.14 = 12,109.64 : x
  2. Step 2: Convert to fraction form
    22,642.35/33,973.14 = 12,109.64/x
  3. Step 3: Cross multiply
    22,642.35x = 33,973.14 × 12,109.64
  4. Step 4: Simplify right side
    22,642.35x = 411,402,493.60
  5. Step 5: Solve for x
    x = 411,402,493.60/22,642.35
  6. Step 6: Final answer
    x = 18,169.60

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1.5x scale

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.