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Finding the Fourth Proportional to 18,553.34, 27,830.10 and 4,702.34

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Solution

The fourth proportional to 18,553.34, 27,830.10 and 4,702.34 is: 7,053.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,553.34 : 27,830.10 = 4,702.34 : x
  2. Step 2: Convert to fraction form
    18,553.34/27,830.10 = 4,702.34/x
  3. Step 3: Cross multiply
    18,553.34x = 27,830.10 × 4,702.34
  4. Step 4: Simplify right side
    18,553.34x = 130,866,592.43
  5. Step 5: Solve for x
    x = 130,866,592.43/18,553.34
  6. Step 6: Final answer
    x = 7,053.53

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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.