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Finding the Fourth Proportional to 16,536.32, 22,820.48 and 9,084.80

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Solution

The fourth proportional to 16,536.32, 22,820.48 and 9,084.80 is: 12,537.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,536.32 : 22,820.48 = 9,084.80 : x
  2. Step 2: Convert to fraction form
    16,536.32/22,820.48 = 9,084.80/x
  3. Step 3: Cross multiply
    16,536.32x = 22,820.48 × 9,084.80
  4. Step 4: Simplify right side
    16,536.32x = 207,319,496.70
  5. Step 5: Solve for x
    x = 207,319,496.70/16,536.32
  6. Step 6: Final answer
    x = 12,537.22

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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.