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Finding the Fourth Proportional to 24,723.70, 37,097.70 and 11,573.80

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Solution

The fourth proportional to 24,723.70, 37,097.70 and 11,573.80 is: 17,366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,723.70 : 37,097.70 = 11,573.80 : x
  2. Step 2: Convert to fraction form
    24,723.70/37,097.70 = 11,573.80/x
  3. Step 3: Cross multiply
    24,723.70x = 37,097.70 × 11,573.80
  4. Step 4: Simplify right side
    24,723.70x = 429,361,360.26
  5. Step 5: Solve for x
    x = 429,361,360.26/24,723.70
  6. Step 6: Final answer
    x = 17,366.39

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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.