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Finding the Fourth Proportional to 22,967.48, 31,697.93 and 12,896.35

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Solution

The fourth proportional to 22,967.48, 31,697.93 and 12,896.35 is: 17,798.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,967.48 : 31,697.93 = 12,896.35 : x
  2. Step 2: Convert to fraction form
    22,967.48/31,697.93 = 12,896.35/x
  3. Step 3: Cross multiply
    22,967.48x = 31,697.93 × 12,896.35
  4. Step 4: Simplify right side
    22,967.48x = 408,787,552.55
  5. Step 5: Solve for x
    x = 408,787,552.55/22,967.48
  6. Step 6: Final answer
    x = 17,798.54

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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.