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Finding the Fourth Proportional to 14,851.64, 20,496.24 and 8,564.42

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Solution

The fourth proportional to 14,851.64, 20,496.24 and 8,564.42 is: 11,819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,851.64 : 20,496.24 = 8,564.42 : x
  2. Step 2: Convert to fraction form
    14,851.64/20,496.24 = 8,564.42/x
  3. Step 3: Cross multiply
    14,851.64x = 20,496.24 × 8,564.42
  4. Step 4: Simplify right side
    14,851.64x = 175,538,407.78
  5. Step 5: Solve for x
    x = 175,538,407.78/14,851.64
  6. Step 6: Final answer
    x = 11,819.46

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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.