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Finding the Fourth Proportional to 24,705.60, 37,060.80 and 8,064.96

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Solution

The fourth proportional to 24,705.60, 37,060.80 and 8,064.96 is: 12,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,705.60 : 37,060.80 = 8,064.96 : x
  2. Step 2: Convert to fraction form
    24,705.60/37,060.80 = 8,064.96/x
  3. Step 3: Cross multiply
    24,705.60x = 37,060.80 × 8,064.96
  4. Step 4: Simplify right side
    24,705.60x = 298,893,869.57
  5. Step 5: Solve for x
    x = 298,893,869.57/24,705.60
  6. Step 6: Final answer
    x = 12,098.22

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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.