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Finding the Fourth Proportional to 24,434.70, 36,656.69 and 8,419.98

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Solution

The fourth proportional to 24,434.70, 36,656.69 and 8,419.98 is: 12,631.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,434.70 : 36,656.69 = 8,419.98 : x
  2. Step 2: Convert to fraction form
    24,434.70/36,656.69 = 8,419.98/x
  3. Step 3: Cross multiply
    24,434.70x = 36,656.69 × 8,419.98
  4. Step 4: Simplify right side
    24,434.70x = 308,648,596.67
  5. Step 5: Solve for x
    x = 308,648,596.67/24,434.70
  6. Step 6: Final answer
    x = 12,631.57

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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.