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Finding the Fourth Proportional to 14,722.84, 20,319.36 and 8,435.23

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Solution

The fourth proportional to 14,722.84, 20,319.36 and 8,435.23 is: 11,641.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,722.84 : 20,319.36 = 8,435.23 : x
  2. Step 2: Convert to fraction form
    14,722.84/20,319.36 = 8,435.23/x
  3. Step 3: Cross multiply
    14,722.84x = 20,319.36 × 8,435.23
  4. Step 4: Simplify right side
    14,722.84x = 171,398,475.05
  5. Step 5: Solve for x
    x = 171,398,475.05/14,722.84
  6. Step 6: Final answer
    x = 11,641.67

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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.