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Finding the Fourth Proportional to 20,567.98, 30,854.98 and 6,523.32

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Solution

The fourth proportional to 20,567.98, 30,854.98 and 6,523.32 is: 9,785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,567.98 : 30,854.98 = 6,523.32 : x
  2. Step 2: Convert to fraction form
    20,567.98/30,854.98 = 6,523.32/x
  3. Step 3: Cross multiply
    20,567.98x = 30,854.98 × 6,523.32
  4. Step 4: Simplify right side
    20,567.98x = 201,276,908.13
  5. Step 5: Solve for x
    x = 201,276,908.13/20,567.98
  6. Step 6: Final answer
    x = 9,785.93

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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.