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Finding the Fourth Proportional to 18,589.76, 27,826.32 and 9,798.02

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Solution

The fourth proportional to 18,589.76, 27,826.32 and 9,798.02 is: 14,666.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,589.76 : 27,826.32 = 9,798.02 : x
  2. Step 2: Convert to fraction form
    18,589.76/27,826.32 = 9,798.02/x
  3. Step 3: Cross multiply
    18,589.76x = 27,826.32 × 9,798.02
  4. Step 4: Simplify right side
    18,589.76x = 272,642,839.89
  5. Step 5: Solve for x
    x = 272,642,839.89/18,589.76
  6. Step 6: Final answer
    x = 14,666.29

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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.