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Finding the Fourth Proportional to 14,195.23, 19,588.68 and 8,228.81

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Solution

The fourth proportional to 14,195.23, 19,588.68 and 8,228.81 is: 11,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,195.23 : 19,588.68 = 8,228.81 : x
  2. Step 2: Convert to fraction form
    14,195.23/19,588.68 = 8,228.81/x
  3. Step 3: Cross multiply
    14,195.23x = 19,588.68 × 8,228.81
  4. Step 4: Simplify right side
    14,195.23x = 161,191,574.84
  5. Step 5: Solve for x
    x = 161,191,574.84/14,195.23
  6. Step 6: Final answer
    x = 11,355.34

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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.