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Finding the Fourth Proportional to 21,770.34, 32,655.51 and 6,185.94

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Solution

The fourth proportional to 21,770.34, 32,655.51 and 6,185.94 is: 9,278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,770.34 : 32,655.51 = 6,185.94 : x
  2. Step 2: Convert to fraction form
    21,770.34/32,655.51 = 6,185.94/x
  3. Step 3: Cross multiply
    21,770.34x = 32,655.51 × 6,185.94
  4. Step 4: Simplify right side
    21,770.34x = 202,005,025.53
  5. Step 5: Solve for x
    x = 202,005,025.53/21,770.34
  6. Step 6: Final answer
    x = 9,278.91

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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.