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Finding the Fourth Proportional to 14,202.16, 19,597.90 and 8,234.64

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Solution

The fourth proportional to 14,202.16, 19,597.90 and 8,234.64 is: 11,363.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,202.16 : 19,597.90 = 8,234.64 : x
  2. Step 2: Convert to fraction form
    14,202.16/19,597.90 = 8,234.64/x
  3. Step 3: Cross multiply
    14,202.16x = 19,597.90 × 8,234.64
  4. Step 4: Simplify right side
    14,202.16x = 161,381,651.26
  5. Step 5: Solve for x
    x = 161,381,651.26/14,202.16
  6. Step 6: Final answer
    x = 11,363.18

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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.