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Finding the Fourth Proportional to 14,506.38, 21,765.69 and 6,188.22

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Solution

The fourth proportional to 14,506.38, 21,765.69 and 6,188.22 is: 9,284.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,506.38 : 21,765.69 = 6,188.22 : x
  2. Step 2: Convert to fraction form
    14,506.38/21,765.69 = 6,188.22/x
  3. Step 3: Cross multiply
    14,506.38x = 21,765.69 × 6,188.22
  4. Step 4: Simplify right side
    14,506.38x = 134,690,878.17
  5. Step 5: Solve for x
    x = 134,690,878.17/14,506.38
  6. Step 6: Final answer
    x = 9,284.94

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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.