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Finding the Fourth Proportional to 12,959.84, 19,437.60 and 4,193.48

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Solution

The fourth proportional to 12,959.84, 19,437.60 and 4,193.48 is: 6,289.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,959.84 : 19,437.60 = 4,193.48 : x
  2. Step 2: Convert to fraction form
    12,959.84/19,437.60 = 4,193.48/x
  3. Step 3: Cross multiply
    12,959.84x = 19,437.60 × 4,193.48
  4. Step 4: Simplify right side
    12,959.84x = 81,511,186.85
  5. Step 5: Solve for x
    x = 81,511,186.85/12,959.84
  6. Step 6: Final answer
    x = 6,289.52

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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.