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Finding the Fourth Proportional to 21,723.66, 32,590.98 and 6,141.30

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Solution

The fourth proportional to 21,723.66, 32,590.98 and 6,141.30 is: 9,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,723.66 : 32,590.98 = 6,141.30 : x
  2. Step 2: Convert to fraction form
    21,723.66/32,590.98 = 6,141.30/x
  3. Step 3: Cross multiply
    21,723.66x = 32,590.98 × 6,141.30
  4. Step 4: Simplify right side
    21,723.66x = 200,150,985.47
  5. Step 5: Solve for x
    x = 200,150,985.47/21,723.66
  6. Step 6: Final answer
    x = 9,213.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.