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Finding the Fourth Proportional to 20,598.09, 30,906.37 and 9,498.83

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Solution

The fourth proportional to 20,598.09, 30,906.37 and 9,498.83 is: 14,252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,598.09 : 30,906.37 = 9,498.83 : x
  2. Step 2: Convert to fraction form
    20,598.09/30,906.37 = 9,498.83/x
  3. Step 3: Cross multiply
    20,598.09x = 30,906.37 × 9,498.83
  4. Step 4: Simplify right side
    20,598.09x = 293,574,307.05
  5. Step 5: Solve for x
    x = 293,574,307.05/20,598.09
  6. Step 6: Final answer
    x = 14,252.50

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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.