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Finding the Fourth Proportional to 24,713.68, 37,070.21 and 9,922.34

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Solution

The fourth proportional to 24,713.68, 37,070.21 and 9,922.34 is: 14,883.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,713.68 : 37,070.21 = 9,922.34 : x
  2. Step 2: Convert to fraction form
    24,713.68/37,070.21 = 9,922.34/x
  3. Step 3: Cross multiply
    24,713.68x = 37,070.21 × 9,922.34
  4. Step 4: Simplify right side
    24,713.68x = 367,823,227.49
  5. Step 5: Solve for x
    x = 367,823,227.49/24,713.68
  6. Step 6: Final answer
    x = 14,883.39

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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.