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Finding the Fourth Proportional to 14,322.71, 19,764.07 and 8,354.90

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Solution

The fourth proportional to 14,322.71, 19,764.07 and 8,354.90 is: 11,529.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,322.71 : 19,764.07 = 8,354.90 : x
  2. Step 2: Convert to fraction form
    14,322.71/19,764.07 = 8,354.90/x
  3. Step 3: Cross multiply
    14,322.71x = 19,764.07 × 8,354.90
  4. Step 4: Simplify right side
    14,322.71x = 165,126,856.97
  5. Step 5: Solve for x
    x = 165,126,856.97/14,322.71
  6. Step 6: Final answer
    x = 11,529.02

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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.