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Finding the Fourth Proportional to 22,641.75, 33,914.74 and 14,317.47

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Solution

The fourth proportional to 22,641.75, 33,914.74 and 14,317.47 is: 21,445.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,641.75 : 33,914.74 = 14,317.47 : x
  2. Step 2: Convert to fraction form
    22,641.75/33,914.74 = 14,317.47/x
  3. Step 3: Cross multiply
    22,641.75x = 33,914.74 × 14,317.47
  4. Step 4: Simplify right side
    22,641.75x = 485,573,031.35
  5. Step 5: Solve for x
    x = 485,573,031.35/22,641.75
  6. Step 6: Final answer
    x = 21,445.92

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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.