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Finding the Fourth Proportional to 14,422.42, 21,633.64 and 7,851.70

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Solution

The fourth proportional to 14,422.42, 21,633.64 and 7,851.70 is: 11,777.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,422.42 : 21,633.64 = 7,851.70 : x
  2. Step 2: Convert to fraction form
    14,422.42/21,633.64 = 7,851.70/x
  3. Step 3: Cross multiply
    14,422.42x = 21,633.64 × 7,851.70
  4. Step 4: Simplify right side
    14,422.42x = 169,860,851.19
  5. Step 5: Solve for x
    x = 169,860,851.19/14,422.42
  6. Step 6: Final answer
    x = 11,777.56

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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.