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Finding the Fourth Proportional to 13,755.31, 20,614.06 and 7,498.87

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Solution

The fourth proportional to 13,755.31, 20,614.06 and 7,498.87 is: 11,238.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755.31 : 20,614.06 = 7,498.87 : x
  2. Step 2: Convert to fraction form
    13,755.31/20,614.06 = 7,498.87/x
  3. Step 3: Cross multiply
    13,755.31x = 20,614.06 × 7,498.87
  4. Step 4: Simplify right side
    13,755.31x = 154,582,156.11
  5. Step 5: Solve for x
    x = 154,582,156.11/13,755.31
  6. Step 6: Final answer
    x = 11,238.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.