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Finding the Fourth Proportional to 14,302.19, 19,734.49 and 8,635.43

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Solution

The fourth proportional to 14,302.19, 19,734.49 and 8,635.43 is: 11,915.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302.19 : 19,734.49 = 8,635.43 : x
  2. Step 2: Convert to fraction form
    14,302.19/19,734.49 = 8,635.43/x
  3. Step 3: Cross multiply
    14,302.19x = 19,734.49 × 8,635.43
  4. Step 4: Simplify right side
    14,302.19x = 170,415,806.98
  5. Step 5: Solve for x
    x = 170,415,806.98/14,302.19
  6. Step 6: Final answer
    x = 11,915.36

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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.