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Finding the Fourth Proportional to 24,020.78, 36,036.42 and 7,382

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Solution

The fourth proportional to 24,020.78, 36,036.42 and 7,382 is: 11,074.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,020.78 : 36,036.42 = 7,382 : x
  2. Step 2: Convert to fraction form
    24,020.78/36,036.42 = 7,382/x
  3. Step 3: Cross multiply
    24,020.78x = 36,036.42 × 7,382
  4. Step 4: Simplify right side
    24,020.78x = 266,020,852.44
  5. Step 5: Solve for x
    x = 266,020,852.44/24,020.78
  6. Step 6: Final answer
    x = 11,074.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.