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Finding the Fourth Proportional to 14,652.76, 21,965.98 and 5,286.28

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Solution

The fourth proportional to 14,652.76, 21,965.98 and 5,286.28 is: 7,924.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,652.76 : 21,965.98 = 5,286.28 : x
  2. Step 2: Convert to fraction form
    14,652.76/21,965.98 = 5,286.28/x
  3. Step 3: Cross multiply
    14,652.76x = 21,965.98 × 5,286.28
  4. Step 4: Simplify right side
    14,652.76x = 116,118,320.75
  5. Step 5: Solve for x
    x = 116,118,320.75/14,652.76
  6. Step 6: Final answer
    x = 7,924.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.