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Finding the Fourth Proportional to 18,553.40, 27,830.10 and 4,702.40

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Solution

The fourth proportional to 18,553.40, 27,830.10 and 4,702.40 is: 7,053.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,553.40 : 27,830.10 = 4,702.40 : x
  2. Step 2: Convert to fraction form
    18,553.40/27,830.10 = 4,702.40/x
  3. Step 3: Cross multiply
    18,553.40x = 27,830.10 × 4,702.40
  4. Step 4: Simplify right side
    18,553.40x = 130,868,262.24
  5. Step 5: Solve for x
    x = 130,868,262.24/18,553.40
  6. Step 6: Final answer
    x = 7,053.60

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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.