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Finding the Fourth Proportional to 21,687.27, 32,534.88 and 7,647.72

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Solution

The fourth proportional to 21,687.27, 32,534.88 and 7,647.72 is: 11,472.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,687.27 : 32,534.88 = 7,647.72 : x
  2. Step 2: Convert to fraction form
    21,687.27/32,534.88 = 7,647.72/x
  3. Step 3: Cross multiply
    21,687.27x = 32,534.88 × 7,647.72
  4. Step 4: Simplify right side
    21,687.27x = 248,817,652.47
  5. Step 5: Solve for x
    x = 248,817,652.47/21,687.27
  6. Step 6: Final answer
    x = 11,472.98

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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.