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Finding the Fourth Proportional to 26,148, 36,084.32 and 14,211.07

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Solution

The fourth proportional to 26,148, 36,084.32 and 14,211.07 is: 19,611.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,148 : 36,084.32 = 14,211.07 : x
  2. Step 2: Convert to fraction form
    26,148/36,084.32 = 14,211.07/x
  3. Step 3: Cross multiply
    26,148x = 36,084.32 × 14,211.07
  4. Step 4: Simplify right side
    26,148x = 512,796,797.42
  5. Step 5: Solve for x
    x = 512,796,797.42/26,148
  6. Step 6: Final answer
    x = 19,611.32

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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.