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Finding the Fourth Proportional to 27,509.76, 37,968.48 and 16,338.24

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Solution

The fourth proportional to 27,509.76, 37,968.48 and 16,338.24 is: 22,549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,509.76 : 37,968.48 = 16,338.24 : x
  2. Step 2: Convert to fraction form
    27,509.76/37,968.48 = 16,338.24/x
  3. Step 3: Cross multiply
    27,509.76x = 37,968.48 × 16,338.24
  4. Step 4: Simplify right side
    27,509.76x = 620,338,138.68
  5. Step 5: Solve for x
    x = 620,338,138.68/27,509.76
  6. Step 6: Final answer
    x = 22,549.75

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1.5x scale

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.