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Finding the Fourth Proportional to 24,705.60, 37,011.88 and 12,211

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Solution

The fourth proportional to 24,705.60, 37,011.88 and 12,211 is: 18,293.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,705.60 : 37,011.88 = 12,211 : x
  2. Step 2: Convert to fraction form
    24,705.60/37,011.88 = 12,211/x
  3. Step 3: Cross multiply
    24,705.60x = 37,011.88 × 12,211
  4. Step 4: Simplify right side
    24,705.60x = 451,952,066.68
  5. Step 5: Solve for x
    x = 451,952,066.68/24,705.60
  6. Step 6: Final answer
    x = 18,293.51

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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.