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Finding the Fourth Proportional to 21,533.61, 32,302.28 and 5,951.24

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Solution

The fourth proportional to 21,533.61, 32,302.28 and 5,951.24 is: 8,927.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,533.61 : 32,302.28 = 5,951.24 : x
  2. Step 2: Convert to fraction form
    21,533.61/32,302.28 = 5,951.24/x
  3. Step 3: Cross multiply
    21,533.61x = 32,302.28 × 5,951.24
  4. Step 4: Simplify right side
    21,533.61x = 192,238,620.83
  5. Step 5: Solve for x
    x = 192,238,620.83/21,533.61
  6. Step 6: Final answer
    x = 8,927.38

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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.