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Finding the Fourth Proportional to 12,825.54, 19,221.30 and 6,585.30

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Solution

The fourth proportional to 12,825.54, 19,221.30 and 6,585.30 is: 9,869.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.54 : 19,221.30 = 6,585.30 : x
  2. Step 2: Convert to fraction form
    12,825.54/19,221.30 = 6,585.30/x
  3. Step 3: Cross multiply
    12,825.54x = 19,221.30 × 6,585.30
  4. Step 4: Simplify right side
    12,825.54x = 126,578,026.89
  5. Step 5: Solve for x
    x = 126,578,026.89/12,825.54
  6. Step 6: Final answer
    x = 9,869.22

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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.