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Finding the Fourth Proportional to 14,157.56, 21,214.20 and 8,952.50

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Solution

The fourth proportional to 14,157.56, 21,214.20 and 8,952.50 is: 13,414.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157.56 : 21,214.20 = 8,952.50 : x
  2. Step 2: Convert to fraction form
    14,157.56/21,214.20 = 8,952.50/x
  3. Step 3: Cross multiply
    14,157.56x = 21,214.20 × 8,952.50
  4. Step 4: Simplify right side
    14,157.56x = 189,920,125.50
  5. Step 5: Solve for x
    x = 189,920,125.50/14,157.56
  6. Step 6: Final answer
    x = 13,414.75

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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.