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Finding the Fourth Proportional to 12,985.33, 19,471.06 and 6,739.05

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Solution

The fourth proportional to 12,985.33, 19,471.06 and 6,739.05 is: 10,104.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,985.33 : 19,471.06 = 6,739.05 : x
  2. Step 2: Convert to fraction form
    12,985.33/19,471.06 = 6,739.05/x
  3. Step 3: Cross multiply
    12,985.33x = 19,471.06 × 6,739.05
  4. Step 4: Simplify right side
    12,985.33x = 131,216,446.89
  5. Step 5: Solve for x
    x = 131,216,446.89/12,985.33
  6. Step 6: Final answer
    x = 10,104.98

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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.