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Finding the Fourth Proportional to 22,509.60, 33,767.40 and 7,714.80

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Solution

The fourth proportional to 22,509.60, 33,767.40 and 7,714.80 is: 11,573.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,509.60 : 33,767.40 = 7,714.80 : x
  2. Step 2: Convert to fraction form
    22,509.60/33,767.40 = 7,714.80/x
  3. Step 3: Cross multiply
    22,509.60x = 33,767.40 × 7,714.80
  4. Step 4: Simplify right side
    22,509.60x = 260,508,737.52
  5. Step 5: Solve for x
    x = 260,508,737.52/22,509.60
  6. Step 6: Final answer
    x = 11,573.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.