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Finding the Fourth Proportional to 21,553.34, 32,321.94 and 7,509.76

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Solution

The fourth proportional to 21,553.34, 32,321.94 and 7,509.76 is: 11,261.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,553.34 : 32,321.94 = 7,509.76 : x
  2. Step 2: Convert to fraction form
    21,553.34/32,321.94 = 7,509.76/x
  3. Step 3: Cross multiply
    21,553.34x = 32,321.94 × 7,509.76
  4. Step 4: Simplify right side
    21,553.34x = 242,730,012.13
  5. Step 5: Solve for x
    x = 242,730,012.13/21,553.34
  6. Step 6: Final answer
    x = 11,261.83

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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.