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Finding the Fourth Proportional to 20,504.51, 30,758.03 and 6,465.02

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Solution

The fourth proportional to 20,504.51, 30,758.03 and 6,465.02 is: 9,697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,504.51 : 30,758.03 = 6,465.02 : x
  2. Step 2: Convert to fraction form
    20,504.51/30,758.03 = 6,465.02/x
  3. Step 3: Cross multiply
    20,504.51x = 30,758.03 × 6,465.02
  4. Step 4: Simplify right side
    20,504.51x = 198,851,093.00
  5. Step 5: Solve for x
    x = 198,851,093.00/20,504.51
  6. Step 6: Final answer
    x = 9,697.92

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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.