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Finding the Fourth Proportional to 21,690.59, 32,531.02 and 6,109.43

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Solution

The fourth proportional to 21,690.59, 32,531.02 and 6,109.43 is: 9,162.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,690.59 : 32,531.02 = 6,109.43 : x
  2. Step 2: Convert to fraction form
    21,690.59/32,531.02 = 6,109.43/x
  3. Step 3: Cross multiply
    21,690.59x = 32,531.02 × 6,109.43
  4. Step 4: Simplify right side
    21,690.59x = 198,745,811.59
  5. Step 5: Solve for x
    x = 198,745,811.59/21,690.59
  6. Step 6: Final answer
    x = 9,162.77

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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.