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Finding the Fourth Proportional to 19,284, 26,613.54 and 12,207.84

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Solution

The fourth proportional to 19,284, 26,613.54 and 12,207.84 is: 16,847.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,284 : 26,613.54 = 12,207.84 : x
  2. Step 2: Convert to fraction form
    19,284/26,613.54 = 12,207.84/x
  3. Step 3: Cross multiply
    19,284x = 26,613.54 × 12,207.84
  4. Step 4: Simplify right side
    19,284x = 324,893,838.15
  5. Step 5: Solve for x
    x = 324,893,838.15/19,284
  6. Step 6: Final answer
    x = 16,847.84

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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.