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Finding the Fourth Proportional to 21,894.46, 32,846.30 and 7,102.23

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Solution

The fourth proportional to 21,894.46, 32,846.30 and 7,102.23 is: 10,654.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,894.46 : 32,846.30 = 7,102.23 : x
  2. Step 2: Convert to fraction form
    21,894.46/32,846.30 = 7,102.23/x
  3. Step 3: Cross multiply
    21,894.46x = 32,846.30 × 7,102.23
  4. Step 4: Simplify right side
    21,894.46x = 233,281,977.25
  5. Step 5: Solve for x
    x = 233,281,977.25/21,894.46
  6. Step 6: Final answer
    x = 10,654.84

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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.