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Finding the Fourth Proportional to 19,822.25, 27,355.08 and 10,869.22

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Solution

The fourth proportional to 19,822.25, 27,355.08 and 10,869.22 is: 14,999.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,822.25 : 27,355.08 = 10,869.22 : x
  2. Step 2: Convert to fraction form
    19,822.25/27,355.08 = 10,869.22/x
  3. Step 3: Cross multiply
    19,822.25x = 27,355.08 × 10,869.22
  4. Step 4: Simplify right side
    19,822.25x = 297,328,457.59
  5. Step 5: Solve for x
    x = 297,328,457.59/19,822.25
  6. Step 6: Final answer
    x = 14,999.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.