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Finding the Fourth Proportional to 21,942.30, 32,901.30 and 9,460.20

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Solution

The fourth proportional to 21,942.30, 32,901.30 and 9,460.20 is: 14,185.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,942.30 : 32,901.30 = 9,460.20 : x
  2. Step 2: Convert to fraction form
    21,942.30/32,901.30 = 9,460.20/x
  3. Step 3: Cross multiply
    21,942.30x = 32,901.30 × 9,460.20
  4. Step 4: Simplify right side
    21,942.30x = 311,252,878.26
  5. Step 5: Solve for x
    x = 311,252,878.26/21,942.30
  6. Step 6: Final answer
    x = 14,185.06

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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.