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Finding the Fourth Proportional to 24,416.26, 36,624.40 and 8,830.24

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Solution

The fourth proportional to 24,416.26, 36,624.40 and 8,830.24 is: 13,245.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416.26 : 36,624.40 = 8,830.24 : x
  2. Step 2: Convert to fraction form
    24,416.26/36,624.40 = 8,830.24/x
  3. Step 3: Cross multiply
    24,416.26x = 36,624.40 × 8,830.24
  4. Step 4: Simplify right side
    24,416.26x = 323,402,241.86
  5. Step 5: Solve for x
    x = 323,402,241.86/24,416.26
  6. Step 6: Final answer
    x = 13,245.36

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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.