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Finding the Fourth Proportional to 15,706.26, 21,674.67 and 8,536.22

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Solution

The fourth proportional to 15,706.26, 21,674.67 and 8,536.22 is: 11,779.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.26 : 21,674.67 = 8,536.22 : x
  2. Step 2: Convert to fraction form
    15,706.26/21,674.67 = 8,536.22/x
  3. Step 3: Cross multiply
    15,706.26x = 21,674.67 × 8,536.22
  4. Step 4: Simplify right side
    15,706.26x = 185,019,643.17
  5. Step 5: Solve for x
    x = 185,019,643.17/15,706.26
  6. Step 6: Final answer
    x = 11,779.99

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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.