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Finding the Fourth Proportional to 21,213.69, 31,808.33 and 8,742.32

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Solution

The fourth proportional to 21,213.69, 31,808.33 and 8,742.32 is: 13,108.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,213.69 : 31,808.33 = 8,742.32 : x
  2. Step 2: Convert to fraction form
    21,213.69/31,808.33 = 8,742.32/x
  3. Step 3: Cross multiply
    21,213.69x = 31,808.33 × 8,742.32
  4. Step 4: Simplify right side
    21,213.69x = 278,078,599.53
  5. Step 5: Solve for x
    x = 278,078,599.53/21,213.69
  6. Step 6: Final answer
    x = 13,108.45

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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.