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Finding the Fourth Proportional to 14,657.82, 20,234.82 and 8,368.98

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Solution

The fourth proportional to 14,657.82, 20,234.82 and 8,368.98 is: 11,553.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,657.82 : 20,234.82 = 8,368.98 : x
  2. Step 2: Convert to fraction form
    14,657.82/20,234.82 = 8,368.98/x
  3. Step 3: Cross multiply
    14,657.82x = 20,234.82 × 8,368.98
  4. Step 4: Simplify right side
    14,657.82x = 169,344,803.88
  5. Step 5: Solve for x
    x = 169,344,803.88/14,657.82
  6. Step 6: Final answer
    x = 11,553.21

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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.