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Finding the Fourth Proportional to 14,205.28, 19,605.17 and 8,157.91

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Solution

The fourth proportional to 14,205.28, 19,605.17 and 8,157.91 is: 11,258.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,205.28 : 19,605.17 = 8,157.91 : x
  2. Step 2: Convert to fraction form
    14,205.28/19,605.17 = 8,157.91/x
  3. Step 3: Cross multiply
    14,205.28x = 19,605.17 × 8,157.91
  4. Step 4: Simplify right side
    14,205.28x = 159,937,073.58
  5. Step 5: Solve for x
    x = 159,937,073.58/14,205.28
  6. Step 6: Final answer
    x = 11,258.99

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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.