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Finding the Fourth Proportional to 27,322.84, 37,706.07 and 16,567.66

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Solution

The fourth proportional to 27,322.84, 37,706.07 and 16,567.66 is: 22,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,322.84 : 37,706.07 = 16,567.66 : x
  2. Step 2: Convert to fraction form
    27,322.84/37,706.07 = 16,567.66/x
  3. Step 3: Cross multiply
    27,322.84x = 37,706.07 × 16,567.66
  4. Step 4: Simplify right side
    27,322.84x = 624,701,347.70
  5. Step 5: Solve for x
    x = 624,701,347.70/27,322.84
  6. Step 6: Final answer
    x = 22,863.70

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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.