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Finding the Fourth Proportional to 22,702.78, 34,086.06 and 11,617.42

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Solution

The fourth proportional to 22,702.78, 34,086.06 and 11,617.42 is: 17,442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,702.78 : 34,086.06 = 11,617.42 : x
  2. Step 2: Convert to fraction form
    22,702.78/34,086.06 = 11,617.42/x
  3. Step 3: Cross multiply
    22,702.78x = 34,086.06 × 11,617.42
  4. Step 4: Simplify right side
    22,702.78x = 395,992,075.17
  5. Step 5: Solve for x
    x = 395,992,075.17/22,702.78
  6. Step 6: Final answer
    x = 17,442.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.