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Finding the Fourth Proportional to 27,323.34, 37,706.76 and 16,568.16

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Solution

The fourth proportional to 27,323.34, 37,706.76 and 16,568.16 is: 22,864.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,323.34 : 37,706.76 = 16,568.16 : x
  2. Step 2: Convert to fraction form
    27,323.34/37,706.76 = 16,568.16/x
  3. Step 3: Cross multiply
    27,323.34x = 37,706.76 × 16,568.16
  4. Step 4: Simplify right side
    27,323.34x = 624,731,632.76
  5. Step 5: Solve for x
    x = 624,731,632.76/27,323.34
  6. Step 6: Final answer
    x = 22,864.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.