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Finding the Fourth Proportional to 14,036.12, 21,046.44 and 5,714

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Solution

The fourth proportional to 14,036.12, 21,046.44 and 5,714 is: 8,567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,036.12 : 21,046.44 = 5,714 : x
  2. Step 2: Convert to fraction form
    14,036.12/21,046.44 = 5,714/x
  3. Step 3: Cross multiply
    14,036.12x = 21,046.44 × 5,714
  4. Step 4: Simplify right side
    14,036.12x = 120,259,358.16
  5. Step 5: Solve for x
    x = 120,259,358.16/14,036.12
  6. Step 6: Final answer
    x = 8,567.85

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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.