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Finding the Fourth Proportional to 22,968.96, 31,697.36 and 13,415.52

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Solution

The fourth proportional to 22,968.96, 31,697.36 and 13,415.52 is: 18,513.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,968.96 : 31,697.36 = 13,415.52 : x
  2. Step 2: Convert to fraction form
    22,968.96/31,697.36 = 13,415.52/x
  3. Step 3: Cross multiply
    22,968.96x = 31,697.36 × 13,415.52
  4. Step 4: Simplify right side
    22,968.96x = 425,236,567.03
  5. Step 5: Solve for x
    x = 425,236,567.03/22,968.96
  6. Step 6: Final answer
    x = 18,513.53

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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.