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Finding the Fourth Proportional to 13,920.45, 20,870.76 and 6,520.88

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Solution

The fourth proportional to 13,920.45, 20,870.76 and 6,520.88 is: 9,776.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.45 : 20,870.76 = 6,520.88 : x
  2. Step 2: Convert to fraction form
    13,920.45/20,870.76 = 6,520.88/x
  3. Step 3: Cross multiply
    13,920.45x = 20,870.76 × 6,520.88
  4. Step 4: Simplify right side
    13,920.45x = 136,095,617.12
  5. Step 5: Solve for x
    x = 136,095,617.12/13,920.45
  6. Step 6: Final answer
    x = 9,776.67

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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.