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Finding the Fourth Proportional to 12,097.67, 18,147.65 and 4,702.70

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Solution

The fourth proportional to 12,097.67, 18,147.65 and 4,702.70 is: 7,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,097.67 : 18,147.65 = 4,702.70 : x
  2. Step 2: Convert to fraction form
    12,097.67/18,147.65 = 4,702.70/x
  3. Step 3: Cross multiply
    12,097.67x = 18,147.65 × 4,702.70
  4. Step 4: Simplify right side
    12,097.67x = 85,342,953.66
  5. Step 5: Solve for x
    x = 85,342,953.66/12,097.67
  6. Step 6: Final answer
    x = 7,054.50

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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.