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Finding the Fourth Proportional to 12,763.84, 19,104.80 and 6,825.89

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Solution

The fourth proportional to 12,763.84, 19,104.80 and 6,825.89 is: 10,216.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,763.84 : 19,104.80 = 6,825.89 : x
  2. Step 2: Convert to fraction form
    12,763.84/19,104.80 = 6,825.89/x
  3. Step 3: Cross multiply
    12,763.84x = 19,104.80 × 6,825.89
  4. Step 4: Simplify right side
    12,763.84x = 130,407,263.27
  5. Step 5: Solve for x
    x = 130,407,263.27/12,763.84
  6. Step 6: Final answer
    x = 10,216.93

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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.