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Finding the Fourth Proportional to 15,770.61, 23,650.74 and 5,773.08

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Solution

The fourth proportional to 15,770.61, 23,650.74 and 5,773.08 is: 8,657.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770.61 : 23,650.74 = 5,773.08 : x
  2. Step 2: Convert to fraction form
    15,770.61/23,650.74 = 5,773.08/x
  3. Step 3: Cross multiply
    15,770.61x = 23,650.74 × 5,773.08
  4. Step 4: Simplify right side
    15,770.61x = 136,537,614.08
  5. Step 5: Solve for x
    x = 136,537,614.08/15,770.61
  6. Step 6: Final answer
    x = 8,657.73

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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.