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Finding the Fourth Proportional to 12,830.60, 19,247.70 and 4,064.60

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Solution

The fourth proportional to 12,830.60, 19,247.70 and 4,064.60 is: 6,097.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.60 : 19,247.70 = 4,064.60 : x
  2. Step 2: Convert to fraction form
    12,830.60/19,247.70 = 4,064.60/x
  3. Step 3: Cross multiply
    12,830.60x = 19,247.70 × 4,064.60
  4. Step 4: Simplify right side
    12,830.60x = 78,234,201.42
  5. Step 5: Solve for x
    x = 78,234,201.42/12,830.60
  6. Step 6: Final answer
    x = 6,097.47

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