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Finding the Fourth Proportional to 27,316.80, 37,674.72 and 16,128

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Solution

The fourth proportional to 27,316.80, 37,674.72 and 16,128 is: 22,243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,316.80 : 37,674.72 = 16,128 : x
  2. Step 2: Convert to fraction form
    27,316.80/37,674.72 = 16,128/x
  3. Step 3: Cross multiply
    27,316.80x = 37,674.72 × 16,128
  4. Step 4: Simplify right side
    27,316.80x = 607,617,884.16
  5. Step 5: Solve for x
    x = 607,617,884.16/27,316.80
  6. Step 6: Final answer
    x = 22,243.38

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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.