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Finding the Fourth Proportional to 25,302, 37,878.24 and 18,684.24

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Solution

The fourth proportional to 25,302, 37,878.24 and 18,684.24 is: 27,971.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,302 : 37,878.24 = 18,684.24 : x
  2. Step 2: Convert to fraction form
    25,302/37,878.24 = 18,684.24/x
  3. Step 3: Cross multiply
    25,302x = 37,878.24 × 18,684.24
  4. Step 4: Simplify right side
    25,302x = 707,726,126.94
  5. Step 5: Solve for x
    x = 707,726,126.94/25,302
  6. Step 6: Final answer
    x = 27,971.15

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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.