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Finding the Fourth Proportional to 20,594.86, 30,881.24 and 6,551.08

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Solution

The fourth proportional to 20,594.86, 30,881.24 and 6,551.08 is: 9,823.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,594.86 : 30,881.24 = 6,551.08 : x
  2. Step 2: Convert to fraction form
    20,594.86/30,881.24 = 6,551.08/x
  3. Step 3: Cross multiply
    20,594.86x = 30,881.24 × 6,551.08
  4. Step 4: Simplify right side
    20,594.86x = 202,305,473.74
  5. Step 5: Solve for x
    x = 202,305,473.74/20,594.86
  6. Step 6: Final answer
    x = 9,823.11

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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.