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Finding the Fourth Proportional to 12,990.84, 19,497.78 and 6,069.24

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Solution

The fourth proportional to 12,990.84, 19,497.78 and 6,069.24 is: 9,109.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,990.84 : 19,497.78 = 6,069.24 : x
  2. Step 2: Convert to fraction form
    12,990.84/19,497.78 = 6,069.24/x
  3. Step 3: Cross multiply
    12,990.84x = 19,497.78 × 6,069.24
  4. Step 4: Simplify right side
    12,990.84x = 118,336,706.29
  5. Step 5: Solve for x
    x = 118,336,706.29/12,990.84
  6. Step 6: Final answer
    x = 9,109.24

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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.