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Finding the Fourth Proportional to 18,596.64, 25,663.55 and 10,213.14

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Solution

The fourth proportional to 18,596.64, 25,663.55 and 10,213.14 is: 14,094.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,596.64 : 25,663.55 = 10,213.14 : x
  2. Step 2: Convert to fraction form
    18,596.64/25,663.55 = 10,213.14/x
  3. Step 3: Cross multiply
    18,596.64x = 25,663.55 × 10,213.14
  4. Step 4: Simplify right side
    18,596.64x = 262,105,377.98
  5. Step 5: Solve for x
    x = 262,105,377.98/18,596.64
  6. Step 6: Final answer
    x = 14,094.23

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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.