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Finding the Fourth Proportional to 19,402.12, 26,773.50 and 11,017

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Solution

The fourth proportional to 19,402.12, 26,773.50 and 11,017 is: 15,202.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,402.12 : 26,773.50 = 11,017 : x
  2. Step 2: Convert to fraction form
    19,402.12/26,773.50 = 11,017/x
  3. Step 3: Cross multiply
    19,402.12x = 26,773.50 × 11,017
  4. Step 4: Simplify right side
    19,402.12x = 294,963,649.50
  5. Step 5: Solve for x
    x = 294,963,649.50/19,402.12
  6. Step 6: Final answer
    x = 15,202.65

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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.