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Finding the Fourth Proportional to 14,515.81, 20,032.12 and 8,228.18

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Solution

The fourth proportional to 14,515.81, 20,032.12 and 8,228.18 is: 11,355.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,515.81 : 20,032.12 = 8,228.18 : x
  2. Step 2: Convert to fraction form
    14,515.81/20,032.12 = 8,228.18/x
  3. Step 3: Cross multiply
    14,515.81x = 20,032.12 × 8,228.18
  4. Step 4: Simplify right side
    14,515.81x = 164,827,903.22
  5. Step 5: Solve for x
    x = 164,827,903.22/14,515.81
  6. Step 6: Final answer
    x = 11,355.06

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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.