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Finding the Fourth Proportional to 14,098.46, 21,158.33 and 9,645.48

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Solution

The fourth proportional to 14,098.46, 21,158.33 and 9,645.48 is: 14,475.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,098.46 : 21,158.33 = 9,645.48 : x
  2. Step 2: Convert to fraction form
    14,098.46/21,158.33 = 9,645.48/x
  3. Step 3: Cross multiply
    14,098.46x = 21,158.33 × 9,645.48
  4. Step 4: Simplify right side
    14,098.46x = 204,082,200.62
  5. Step 5: Solve for x
    x = 204,082,200.62/14,098.46
  6. Step 6: Final answer
    x = 14,475.50

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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.