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Finding the Fourth Proportional to 21,641.61, 32,457.41 and 6,847.77

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Solution

The fourth proportional to 21,641.61, 32,457.41 and 6,847.77 is: 10,270.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,641.61 : 32,457.41 = 6,847.77 : x
  2. Step 2: Convert to fraction form
    21,641.61/32,457.41 = 6,847.77/x
  3. Step 3: Cross multiply
    21,641.61x = 32,457.41 × 6,847.77
  4. Step 4: Simplify right side
    21,641.61x = 222,260,991.63
  5. Step 5: Solve for x
    x = 222,260,991.63/21,641.61
  6. Step 6: Final answer
    x = 10,270.07

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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.