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Finding the Fourth Proportional to 21,700.68, 32,552.64 and 9,219.30

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Solution

The fourth proportional to 21,700.68, 32,552.64 and 9,219.30 is: 13,829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,700.68 : 32,552.64 = 9,219.30 : x
  2. Step 2: Convert to fraction form
    21,700.68/32,552.64 = 9,219.30/x
  3. Step 3: Cross multiply
    21,700.68x = 32,552.64 × 9,219.30
  4. Step 4: Simplify right side
    21,700.68x = 300,112,553.95
  5. Step 5: Solve for x
    x = 300,112,553.95/21,700.68
  6. Step 6: Final answer
    x = 13,829.64

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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.