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Finding the Fourth Proportional to 21,684.26, 32,526.42 and 6,102.02

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Solution

The fourth proportional to 21,684.26, 32,526.42 and 6,102.02 is: 9,153.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,684.26 : 32,526.42 = 6,102.02 : x
  2. Step 2: Convert to fraction form
    21,684.26/32,526.42 = 6,102.02/x
  3. Step 3: Cross multiply
    21,684.26x = 32,526.42 × 6,102.02
  4. Step 4: Simplify right side
    21,684.26x = 198,476,865.37
  5. Step 5: Solve for x
    x = 198,476,865.37/21,684.26
  6. Step 6: Final answer
    x = 9,153.04

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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.