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Finding the Fourth Proportional to 21,702.24, 32,554.32 and 7,847.52

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Solution

The fourth proportional to 21,702.24, 32,554.32 and 7,847.52 is: 11,771.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,702.24 : 32,554.32 = 7,847.52 : x
  2. Step 2: Convert to fraction form
    21,702.24/32,554.32 = 7,847.52/x
  3. Step 3: Cross multiply
    21,702.24x = 32,554.32 × 7,847.52
  4. Step 4: Simplify right side
    21,702.24x = 255,470,677.29
  5. Step 5: Solve for x
    x = 255,470,677.29/21,702.24
  6. Step 6: Final answer
    x = 11,771.63

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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.