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Finding the Fourth Proportional to 15,536.64, 21,453.22 and 12,665.83

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Solution

The fourth proportional to 15,536.64, 21,453.22 and 12,665.83 is: 17,489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,536.64 : 21,453.22 = 12,665.83 : x
  2. Step 2: Convert to fraction form
    15,536.64/21,453.22 = 12,665.83/x
  3. Step 3: Cross multiply
    15,536.64x = 21,453.22 × 12,665.83
  4. Step 4: Simplify right side
    15,536.64x = 271,722,666.88
  5. Step 5: Solve for x
    x = 271,722,666.88/15,536.64
  6. Step 6: Final answer
    x = 17,489.16

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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.