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Finding the Fourth Proportional to 14,305.64, 19,741.68 and 7,932.23

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Solution

The fourth proportional to 14,305.64, 19,741.68 and 7,932.23 is: 10,946.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,305.64 : 19,741.68 = 7,932.23 : x
  2. Step 2: Convert to fraction form
    14,305.64/19,741.68 = 7,932.23/x
  3. Step 3: Cross multiply
    14,305.64x = 19,741.68 × 7,932.23
  4. Step 4: Simplify right side
    14,305.64x = 156,595,514.84
  5. Step 5: Solve for x
    x = 156,595,514.84/14,305.64
  6. Step 6: Final answer
    x = 10,946.42

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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.