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Finding the Fourth Proportional to 20,598.47, 30,900.93 and 6,561.64

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Solution

The fourth proportional to 20,598.47, 30,900.93 and 6,561.64 is: 9,843.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,598.47 : 30,900.93 = 6,561.64 : x
  2. Step 2: Convert to fraction form
    20,598.47/30,900.93 = 6,561.64/x
  3. Step 3: Cross multiply
    20,598.47x = 30,900.93 × 6,561.64
  4. Step 4: Simplify right side
    20,598.47x = 202,760,792.35
  5. Step 5: Solve for x
    x = 202,760,792.35/20,598.47
  6. Step 6: Final answer
    x = 9,843.49

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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.