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Finding the Fourth Proportional to 20,714.66, 31,050.30 and 9,024.74

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Solution

The fourth proportional to 20,714.66, 31,050.30 and 9,024.74 is: 13,527.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,714.66 : 31,050.30 = 9,024.74 : x
  2. Step 2: Convert to fraction form
    20,714.66/31,050.30 = 9,024.74/x
  3. Step 3: Cross multiply
    20,714.66x = 31,050.30 × 9,024.74
  4. Step 4: Simplify right side
    20,714.66x = 280,220,884.42
  5. Step 5: Solve for x
    x = 280,220,884.42/20,714.66
  6. Step 6: Final answer
    x = 13,527.66

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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.