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Finding the Fourth Proportional to 21,714.52, 32,570.52 and 8,384.92

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Solution

The fourth proportional to 21,714.52, 32,570.52 and 8,384.92 is: 12,576.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,714.52 : 32,570.52 = 8,384.92 : x
  2. Step 2: Convert to fraction form
    21,714.52/32,570.52 = 8,384.92/x
  3. Step 3: Cross multiply
    21,714.52x = 32,570.52 × 8,384.92
  4. Step 4: Simplify right side
    21,714.52x = 273,101,204.56
  5. Step 5: Solve for x
    x = 273,101,204.56/21,714.52
  6. Step 6: Final answer
    x = 12,576.89

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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.