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Finding the Fourth Proportional to 24,314.84, 36,486.36 and 13,222.64

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Solution

The fourth proportional to 24,314.84, 36,486.36 and 13,222.64 is: 19,841.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,314.84 : 36,486.36 = 13,222.64 : x
  2. Step 2: Convert to fraction form
    24,314.84/36,486.36 = 13,222.64/x
  3. Step 3: Cross multiply
    24,314.84x = 36,486.36 × 13,222.64
  4. Step 4: Simplify right side
    24,314.84x = 482,446,003.19
  5. Step 5: Solve for x
    x = 482,446,003.19/24,314.84
  6. Step 6: Final answer
    x = 19,841.63

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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.