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Finding the Fourth Proportional to 21,472.88, 32,205.56 and 5,678.06

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Solution

The fourth proportional to 21,472.88, 32,205.56 and 5,678.06 is: 8,516.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,472.88 : 32,205.56 = 5,678.06 : x
  2. Step 2: Convert to fraction form
    21,472.88/32,205.56 = 5,678.06/x
  3. Step 3: Cross multiply
    21,472.88x = 32,205.56 × 5,678.06
  4. Step 4: Simplify right side
    21,472.88x = 182,865,102.01
  5. Step 5: Solve for x
    x = 182,865,102.01/21,472.88
  6. Step 6: Final answer
    x = 8,516.10

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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.