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Finding the Fourth Proportional to 15,575.35, 23,369.86 and 8,178.09

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Solution

The fourth proportional to 15,575.35, 23,369.86 and 8,178.09 is: 12,270.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,575.35 : 23,369.86 = 8,178.09 : x
  2. Step 2: Convert to fraction form
    15,575.35/23,369.86 = 8,178.09/x
  3. Step 3: Cross multiply
    15,575.35x = 23,369.86 × 8,178.09
  4. Step 4: Simplify right side
    15,575.35x = 191,120,818.37
  5. Step 5: Solve for x
    x = 191,120,818.37/15,575.35
  6. Step 6: Final answer
    x = 12,270.72

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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.