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Finding the Fourth Proportional to 22,894.49, 31,597.59 and 16,541.64

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Solution

The fourth proportional to 22,894.49, 31,597.59 and 16,541.64 is: 22,829.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,894.49 : 31,597.59 = 16,541.64 : x
  2. Step 2: Convert to fraction form
    22,894.49/31,597.59 = 16,541.64/x
  3. Step 3: Cross multiply
    22,894.49x = 31,597.59 × 16,541.64
  4. Step 4: Simplify right side
    22,894.49x = 522,675,958.65
  5. Step 5: Solve for x
    x = 522,675,958.65/22,894.49
  6. Step 6: Final answer
    x = 22,829.78

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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.