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Finding the Fourth Proportional to 24,317.96, 36,477.18 and 7,677.68

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Solution

The fourth proportional to 24,317.96, 36,477.18 and 7,677.68 is: 11,516.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,317.96 : 36,477.18 = 7,677.68 : x
  2. Step 2: Convert to fraction form
    24,317.96/36,477.18 = 7,677.68/x
  3. Step 3: Cross multiply
    24,317.96x = 36,477.18 × 7,677.68
  4. Step 4: Simplify right side
    24,317.96x = 280,060,115.34
  5. Step 5: Solve for x
    x = 280,060,115.34/24,317.96
  6. Step 6: Final answer
    x = 11,516.60

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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.