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Finding the Fourth Proportional to 27,952.64, 38,563.72 and 16,009.64

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Solution

The fourth proportional to 27,952.64, 38,563.72 and 16,009.64 is: 22,087.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,952.64 : 38,563.72 = 16,009.64 : x
  2. Step 2: Convert to fraction form
    27,952.64/38,563.72 = 16,009.64/x
  3. Step 3: Cross multiply
    27,952.64x = 38,563.72 × 16,009.64
  4. Step 4: Simplify right side
    27,952.64x = 617,391,274.26
  5. Step 5: Solve for x
    x = 617,391,274.26/27,952.64
  6. Step 6: Final answer
    x = 22,087.05

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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.