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Finding the Fourth Proportional to 12,724, 19,086.36 and 3,490

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Solution

The fourth proportional to 12,724, 19,086.36 and 3,490 is: 5,235.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,724 : 19,086.36 = 3,490 : x
  2. Step 2: Convert to fraction form
    12,724/19,086.36 = 3,490/x
  3. Step 3: Cross multiply
    12,724x = 19,086.36 × 3,490
  4. Step 4: Simplify right side
    12,724x = 66,611,396.40
  5. Step 5: Solve for x
    x = 66,611,396.40/12,724
  6. Step 6: Final answer
    x = 5,235.10

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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.