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Finding the Fourth Proportional to 12,812.80, 19,216.12 and 6,569.58

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Solution

The fourth proportional to 12,812.80, 19,216.12 and 6,569.58 is: 9,852.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.80 : 19,216.12 = 6,569.58 : x
  2. Step 2: Convert to fraction form
    12,812.80/19,216.12 = 6,569.58/x
  3. Step 3: Cross multiply
    12,812.80x = 19,216.12 × 6,569.58
  4. Step 4: Simplify right side
    12,812.80x = 126,241,837.63
  5. Step 5: Solve for x
    x = 126,241,837.63/12,812.80
  6. Step 6: Final answer
    x = 9,852.79

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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.