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Finding the Fourth Proportional to 21,152.08, 31,728 and 5,357.08

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Solution

The fourth proportional to 21,152.08, 31,728 and 5,357.08 is: 8,035.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,152.08 : 31,728 = 5,357.08 : x
  2. Step 2: Convert to fraction form
    21,152.08/31,728 = 5,357.08/x
  3. Step 3: Cross multiply
    21,152.08x = 31,728 × 5,357.08
  4. Step 4: Simplify right side
    21,152.08x = 169,969,434.24
  5. Step 5: Solve for x
    x = 169,969,434.24/21,152.08
  6. Step 6: Final answer
    x = 8,035.59

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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.