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Finding the Fourth Proportional to 14,217.56, 19,624.34 and 8,250.56

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Solution

The fourth proportional to 14,217.56, 19,624.34 and 8,250.56 is: 11,388.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,217.56 : 19,624.34 = 8,250.56 : x
  2. Step 2: Convert to fraction form
    14,217.56/19,624.34 = 8,250.56/x
  3. Step 3: Cross multiply
    14,217.56x = 19,624.34 × 8,250.56
  4. Step 4: Simplify right side
    14,217.56x = 161,911,794.63
  5. Step 5: Solve for x
    x = 161,911,794.63/14,217.56
  6. Step 6: Final answer
    x = 11,388.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.