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Finding the Fourth Proportional to 14,532.54, 21,809.81 and 5,768.20

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Solution

The fourth proportional to 14,532.54, 21,809.81 and 5,768.20 is: 8,656.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,532.54 : 21,809.81 = 5,768.20 : x
  2. Step 2: Convert to fraction form
    14,532.54/21,809.81 = 5,768.20/x
  3. Step 3: Cross multiply
    14,532.54x = 21,809.81 × 5,768.20
  4. Step 4: Simplify right side
    14,532.54x = 125,803,346.04
  5. Step 5: Solve for x
    x = 125,803,346.04/14,532.54
  6. Step 6: Final answer
    x = 8,656.67

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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.