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Finding the Fourth Proportional to 14,397.91, 19,867.35 and 8,428.21

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Solution

The fourth proportional to 14,397.91, 19,867.35 and 8,428.21 is: 11,629.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,397.91 : 19,867.35 = 8,428.21 : x
  2. Step 2: Convert to fraction form
    14,397.91/19,867.35 = 8,428.21/x
  3. Step 3: Cross multiply
    14,397.91x = 19,867.35 × 8,428.21
  4. Step 4: Simplify right side
    14,397.91x = 167,446,197.94
  5. Step 5: Solve for x
    x = 167,446,197.94/14,397.91
  6. Step 6: Final answer
    x = 11,629.90

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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.