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Finding the Fourth Proportional to 24,558.96, 36,823.68 and 9,770.16

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Solution

The fourth proportional to 24,558.96, 36,823.68 and 9,770.16 is: 14,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,558.96 : 36,823.68 = 9,770.16 : x
  2. Step 2: Convert to fraction form
    24,558.96/36,823.68 = 9,770.16/x
  3. Step 3: Cross multiply
    24,558.96x = 36,823.68 × 9,770.16
  4. Step 4: Simplify right side
    24,558.96x = 359,773,245.39
  5. Step 5: Solve for x
    x = 359,773,245.39/24,558.96
  6. Step 6: Final answer
    x = 14,649.37

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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.