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Finding the Fourth Proportional to 21,693.17, 32,543.83 and 9,847.78

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Solution

The fourth proportional to 21,693.17, 32,543.83 and 9,847.78 is: 14,773.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,693.17 : 32,543.83 = 9,847.78 : x
  2. Step 2: Convert to fraction form
    21,693.17/32,543.83 = 9,847.78/x
  3. Step 3: Cross multiply
    21,693.17x = 32,543.83 × 9,847.78
  4. Step 4: Simplify right side
    21,693.17x = 320,484,403.29
  5. Step 5: Solve for x
    x = 320,484,403.29/21,693.17
  6. Step 6: Final answer
    x = 14,773.52

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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.