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Finding the Fourth Proportional to 14,230.91, 19,640.54 and 10,265.15

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Solution

The fourth proportional to 14,230.91, 19,640.54 and 10,265.15 is: 14,167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,230.91 : 19,640.54 = 10,265.15 : x
  2. Step 2: Convert to fraction form
    14,230.91/19,640.54 = 10,265.15/x
  3. Step 3: Cross multiply
    14,230.91x = 19,640.54 × 10,265.15
  4. Step 4: Simplify right side
    14,230.91x = 201,613,089.18
  5. Step 5: Solve for x
    x = 201,613,089.18/14,230.91
  6. Step 6: Final answer
    x = 14,167.27

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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.