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Finding the Fourth Proportional to 21,140.72, 31,712.57 and 8,490.48

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Solution

The fourth proportional to 21,140.72, 31,712.57 and 8,490.48 is: 12,736.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,140.72 : 31,712.57 = 8,490.48 : x
  2. Step 2: Convert to fraction form
    21,140.72/31,712.57 = 8,490.48/x
  3. Step 3: Cross multiply
    21,140.72x = 31,712.57 × 8,490.48
  4. Step 4: Simplify right side
    21,140.72x = 269,254,898.88
  5. Step 5: Solve for x
    x = 269,254,898.88/21,140.72
  6. Step 6: Final answer
    x = 12,736.31

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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.