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Finding the Fourth Proportional to 21,745.56, 32,602.86 and 7,702.68

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Solution

The fourth proportional to 21,745.56, 32,602.86 and 7,702.68 is: 11,548.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,745.56 : 32,602.86 = 7,702.68 : x
  2. Step 2: Convert to fraction form
    21,745.56/32,602.86 = 7,702.68/x
  3. Step 3: Cross multiply
    21,745.56x = 32,602.86 × 7,702.68
  4. Step 4: Simplify right side
    21,745.56x = 251,129,397.66
  5. Step 5: Solve for x
    x = 251,129,397.66/21,745.56
  6. Step 6: Final answer
    x = 11,548.54

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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.