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Finding the Fourth Proportional to 15,706.80, 21,675.24 and 8,536.64

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Solution

The fourth proportional to 15,706.80, 21,675.24 and 8,536.64 is: 11,780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,706.80 : 21,675.24 = 8,536.64 : x
  2. Step 2: Convert to fraction form
    15,706.80/21,675.24 = 8,536.64/x
  3. Step 3: Cross multiply
    15,706.80x = 21,675.24 × 8,536.64
  4. Step 4: Simplify right side
    15,706.80x = 185,033,720.79
  5. Step 5: Solve for x
    x = 185,033,720.79/15,706.80
  6. Step 6: Final answer
    x = 11,780.48

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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.