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Finding the Fourth Proportional to 30,714.96, 46,066.86 and 8,522.76

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Solution

The fourth proportional to 30,714.96, 46,066.86 and 8,522.76 is: 12,782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,714.96 : 46,066.86 = 8,522.76 : x
  2. Step 2: Convert to fraction form
    30,714.96/46,066.86 = 8,522.76/x
  3. Step 3: Cross multiply
    30,714.96x = 46,066.86 × 8,522.76
  4. Step 4: Simplify right side
    30,714.96x = 392,616,791.73
  5. Step 5: Solve for x
    x = 392,616,791.73/30,714.96
  6. Step 6: Final answer
    x = 12,782.59

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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.