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Finding the Fourth Proportional to 21,165.57, 31,725.97 and 7,830

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Solution

The fourth proportional to 21,165.57, 31,725.97 and 7,830 is: 11,736.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,165.57 : 31,725.97 = 7,830 : x
  2. Step 2: Convert to fraction form
    21,165.57/31,725.97 = 7,830/x
  3. Step 3: Cross multiply
    21,165.57x = 31,725.97 × 7,830
  4. Step 4: Simplify right side
    21,165.57x = 248,414,345.10
  5. Step 5: Solve for x
    x = 248,414,345.10/21,165.57
  6. Step 6: Final answer
    x = 11,736.72

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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.