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Finding the Fourth Proportional to 19,702.16, 27,164 and 12,616.64

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Solution

The fourth proportional to 19,702.16, 27,164 and 12,616.64 is: 17,394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702.16 : 27,164 = 12,616.64 : x
  2. Step 2: Convert to fraction form
    19,702.16/27,164 = 12,616.64/x
  3. Step 3: Cross multiply
    19,702.16x = 27,164 × 12,616.64
  4. Step 4: Simplify right side
    19,702.16x = 342,718,408.96
  5. Step 5: Solve for x
    x = 342,718,408.96/19,702.16
  6. Step 6: Final answer
    x = 17,394.97

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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.