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Finding the Fourth Proportional to 13,726.84, 18,942.95 and 7,758.50

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Solution

The fourth proportional to 13,726.84, 18,942.95 and 7,758.50 is: 10,706.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.84 : 18,942.95 = 7,758.50 : x
  2. Step 2: Convert to fraction form
    13,726.84/18,942.95 = 7,758.50/x
  3. Step 3: Cross multiply
    13,726.84x = 18,942.95 × 7,758.50
  4. Step 4: Simplify right side
    13,726.84x = 146,968,817.98
  5. Step 5: Solve for x
    x = 146,968,817.98/13,726.84
  6. Step 6: Final answer
    x = 10,706.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.