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Finding the Fourth Proportional to 24,175.16, 36,262.74 and 7,770.68

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Solution

The fourth proportional to 24,175.16, 36,262.74 and 7,770.68 is: 11,656.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,175.16 : 36,262.74 = 7,770.68 : x
  2. Step 2: Convert to fraction form
    24,175.16/36,262.74 = 7,770.68/x
  3. Step 3: Cross multiply
    24,175.16x = 36,262.74 × 7,770.68
  4. Step 4: Simplify right side
    24,175.16x = 281,786,148.46
  5. Step 5: Solve for x
    x = 281,786,148.46/24,175.16
  6. Step 6: Final answer
    x = 11,656.02

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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.