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Finding the Fourth Proportional to 13,745.02, 18,968.13 and 7,776.57

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Solution

The fourth proportional to 13,745.02, 18,968.13 and 7,776.57 is: 10,731.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,745.02 : 18,968.13 = 7,776.57 : x
  2. Step 2: Convert to fraction form
    13,745.02/18,968.13 = 7,776.57/x
  3. Step 3: Cross multiply
    13,745.02x = 18,968.13 × 7,776.57
  4. Step 4: Simplify right side
    13,745.02x = 147,506,990.71
  5. Step 5: Solve for x
    x = 147,506,990.71/13,745.02
  6. Step 6: Final answer
    x = 10,731.67

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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.