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Finding the Fourth Proportional to 22,967.40, 31,697.94 and 13,536.84

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Solution

The fourth proportional to 22,967.40, 31,697.94 and 13,536.84 is: 18,682.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.40 : 31,697.94 = 13,536.84 : x
  2. Step 2: Convert to fraction form
    22,967.40/31,697.94 = 13,536.84/x
  3. Step 3: Cross multiply
    22,967.40x = 31,697.94 × 13,536.84
  4. Step 4: Simplify right side
    22,967.40x = 429,089,942.11
  5. Step 5: Solve for x
    x = 429,089,942.11/22,967.40
  6. Step 6: Final answer
    x = 18,682.56

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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.