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Finding the Fourth Proportional to 21,533.77, 32,302.50 and 5,951.40

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Solution

The fourth proportional to 21,533.77, 32,302.50 and 5,951.40 is: 8,927.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,533.77 : 32,302.50 = 5,951.40 : x
  2. Step 2: Convert to fraction form
    21,533.77/32,302.50 = 5,951.40/x
  3. Step 3: Cross multiply
    21,533.77x = 32,302.50 × 5,951.40
  4. Step 4: Simplify right side
    21,533.77x = 192,245,098.50
  5. Step 5: Solve for x
    x = 192,245,098.50/21,533.77
  6. Step 6: Final answer
    x = 8,927.61

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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.