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Finding the Fourth Proportional to 23,385.27, 35,078.21 and 7,802.89

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Solution

The fourth proportional to 23,385.27, 35,078.21 and 7,802.89 is: 11,704.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,385.27 : 35,078.21 = 7,802.89 : x
  2. Step 2: Convert to fraction form
    23,385.27/35,078.21 = 7,802.89/x
  3. Step 3: Cross multiply
    23,385.27x = 35,078.21 × 7,802.89
  4. Step 4: Simplify right side
    23,385.27x = 273,711,557.74
  5. Step 5: Solve for x
    x = 273,711,557.74/23,385.27
  6. Step 6: Final answer
    x = 11,704.44

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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.