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Finding the Fourth Proportional to 23,798.60, 35,698.35 and 8,000.71

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Solution

The fourth proportional to 23,798.60, 35,698.35 and 8,000.71 is: 12,001.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,798.60 : 35,698.35 = 8,000.71 : x
  2. Step 2: Convert to fraction form
    23,798.60/35,698.35 = 8,000.71/x
  3. Step 3: Cross multiply
    23,798.60x = 35,698.35 × 8,000.71
  4. Step 4: Simplify right side
    23,798.60x = 285,612,145.83
  5. Step 5: Solve for x
    x = 285,612,145.83/23,798.60
  6. Step 6: Final answer
    x = 12,001.22

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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.