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Finding the Fourth Proportional to 19,927.02, 27,469.08 and 16,384.08

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Solution

The fourth proportional to 19,927.02, 27,469.08 and 16,384.08 is: 22,585.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,927.02 : 27,469.08 = 16,384.08 : x
  2. Step 2: Convert to fraction form
    19,927.02/27,469.08 = 16,384.08/x
  3. Step 3: Cross multiply
    19,927.02x = 27,469.08 × 16,384.08
  4. Step 4: Simplify right side
    19,927.02x = 450,055,604.25
  5. Step 5: Solve for x
    x = 450,055,604.25/19,927.02
  6. Step 6: Final answer
    x = 22,585.19

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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.