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Finding the Fourth Proportional to 14,286.12, 21,562.68 and 14,286.12

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Solution

The fourth proportional to 14,286.12, 21,562.68 and 14,286.12 is: 21,562.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,286.12 : 21,562.68 = 14,286.12 : x
  2. Step 2: Convert to fraction form
    14,286.12/21,562.68 = 14,286.12/x
  3. Step 3: Cross multiply
    14,286.12x = 21,562.68 × 14,286.12
  4. Step 4: Simplify right side
    14,286.12x = 308,047,034.00
  5. Step 5: Solve for x
    x = 308,047,034.00/14,286.12
  6. Step 6: Final answer
    x = 21,562.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.