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Finding the Fourth Proportional to 14,814.66, 20,446.16 and 8,443.58

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Solution

The fourth proportional to 14,814.66, 20,446.16 and 8,443.58 is: 11,653.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,814.66 : 20,446.16 = 8,443.58 : x
  2. Step 2: Convert to fraction form
    14,814.66/20,446.16 = 8,443.58/x
  3. Step 3: Cross multiply
    14,814.66x = 20,446.16 × 8,443.58
  4. Step 4: Simplify right side
    14,814.66x = 172,638,643.20
  5. Step 5: Solve for x
    x = 172,638,643.20/14,814.66
  6. Step 6: Final answer
    x = 11,653.23

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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.