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Finding the Fourth Proportional to 14,305.21, 21,430.14 and 8,046.20

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Solution

The fourth proportional to 14,305.21, 21,430.14 and 8,046.20 is: 12,053.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305.21 : 21,430.14 = 8,046.20 : x
  2. Step 2: Convert to fraction form
    14,305.21/21,430.14 = 8,046.20/x
  3. Step 3: Cross multiply
    14,305.21x = 21,430.14 × 8,046.20
  4. Step 4: Simplify right side
    14,305.21x = 172,431,215.87
  5. Step 5: Solve for x
    x = 172,431,215.87/14,305.21
  6. Step 6: Final answer
    x = 12,053.74

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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.