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Finding the Fourth Proportional to 14,735.16, 22,104 and 4,874.16

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Solution

The fourth proportional to 14,735.16, 22,104 and 4,874.16 is: 7,311.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,735.16 : 22,104 = 4,874.16 : x
  2. Step 2: Convert to fraction form
    14,735.16/22,104 = 4,874.16/x
  3. Step 3: Cross multiply
    14,735.16x = 22,104 × 4,874.16
  4. Step 4: Simplify right side
    14,735.16x = 107,738,432.64
  5. Step 5: Solve for x
    x = 107,738,432.64/14,735.16
  6. Step 6: Final answer
    x = 7,311.66

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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.