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Finding the Fourth Proportional to 14,789.32, 20,411.19 and 9,764.08

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Solution

The fourth proportional to 14,789.32, 20,411.19 and 9,764.08 is: 13,475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,789.32 : 20,411.19 = 9,764.08 : x
  2. Step 2: Convert to fraction form
    14,789.32/20,411.19 = 9,764.08/x
  3. Step 3: Cross multiply
    14,789.32x = 20,411.19 × 9,764.08
  4. Step 4: Simplify right side
    14,789.32x = 199,296,441.03
  5. Step 5: Solve for x
    x = 199,296,441.03/14,789.32
  6. Step 6: Final answer
    x = 13,475.70

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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.