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Finding the Fourth Proportional to 16,282.64, 24,422.24 and 11,051.28

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Solution

The fourth proportional to 16,282.64, 24,422.24 and 11,051.28 is: 16,575.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,282.64 : 24,422.24 = 11,051.28 : x
  2. Step 2: Convert to fraction form
    16,282.64/24,422.24 = 11,051.28/x
  3. Step 3: Cross multiply
    16,282.64x = 24,422.24 × 11,051.28
  4. Step 4: Simplify right side
    16,282.64x = 269,897,012.47
  5. Step 5: Solve for x
    x = 269,897,012.47/16,282.64
  6. Step 6: Final answer
    x = 16,575.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.