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Finding the Fourth Proportional to 21,977.30, 32,975.18 and 9,490.90

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Solution

The fourth proportional to 21,977.30, 32,975.18 and 9,490.90 is: 14,240.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,977.30 : 32,975.18 = 9,490.90 : x
  2. Step 2: Convert to fraction form
    21,977.30/32,975.18 = 9,490.90/x
  3. Step 3: Cross multiply
    21,977.30x = 32,975.18 × 9,490.90
  4. Step 4: Simplify right side
    21,977.30x = 312,963,983.95
  5. Step 5: Solve for x
    x = 312,963,983.95/21,977.30
  6. Step 6: Final answer
    x = 14,240.33

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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.