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Finding the Fourth Proportional to 19,963.28, 27,549.66 and 12,004

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Solution

The fourth proportional to 19,963.28, 27,549.66 and 12,004 is: 16,565.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,963.28 : 27,549.66 = 12,004 : x
  2. Step 2: Convert to fraction form
    19,963.28/27,549.66 = 12,004/x
  3. Step 3: Cross multiply
    19,963.28x = 27,549.66 × 12,004
  4. Step 4: Simplify right side
    19,963.28x = 330,706,118.64
  5. Step 5: Solve for x
    x = 330,706,118.64/19,963.28
  6. Step 6: Final answer
    x = 16,565.72

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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.