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Finding the Fourth Proportional to 24,503.88, 33,814.32 and 13,894.22

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Solution

The fourth proportional to 24,503.88, 33,814.32 and 13,894.22 is: 19,173.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,503.88 : 33,814.32 = 13,894.22 : x
  2. Step 2: Convert to fraction form
    24,503.88/33,814.32 = 13,894.22/x
  3. Step 3: Cross multiply
    24,503.88x = 33,814.32 × 13,894.22
  4. Step 4: Simplify right side
    24,503.88x = 469,823,601.23
  5. Step 5: Solve for x
    x = 469,823,601.23/24,503.88
  6. Step 6: Final answer
    x = 19,173.44

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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.