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Finding the Fourth Proportional to 12,830.80, 19,267.80 and 8,467.60

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Solution

The fourth proportional to 12,830.80, 19,267.80 and 8,467.60 is: 12,715.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,830.80 : 19,267.80 = 8,467.60 : x
  2. Step 2: Convert to fraction form
    12,830.80/19,267.80 = 8,467.60/x
  3. Step 3: Cross multiply
    12,830.80x = 19,267.80 × 8,467.60
  4. Step 4: Simplify right side
    12,830.80x = 163,152,023.28
  5. Step 5: Solve for x
    x = 163,152,023.28/12,830.80
  6. Step 6: Final answer
    x = 12,715.65

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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.