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Finding the Fourth Proportional to 12,905.80, 19,345 and 8,211.04

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Solution

The fourth proportional to 12,905.80, 19,345 and 8,211.04 is: 12,307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,905.80 : 19,345 = 8,211.04 : x
  2. Step 2: Convert to fraction form
    12,905.80/19,345 = 8,211.04/x
  3. Step 3: Cross multiply
    12,905.80x = 19,345 × 8,211.04
  4. Step 4: Simplify right side
    12,905.80x = 158,842,568.80
  5. Step 5: Solve for x
    x = 158,842,568.80/12,905.80
  6. Step 6: Final answer
    x = 12,307.84

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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.