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Finding the Fourth Proportional to 25,293.50, 37,940.91 and 8,653.43

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Solution

The fourth proportional to 25,293.50, 37,940.91 and 8,653.43 is: 12,980.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,293.50 : 37,940.91 = 8,653.43 : x
  2. Step 2: Convert to fraction form
    25,293.50/37,940.91 = 8,653.43/x
  3. Step 3: Cross multiply
    25,293.50x = 37,940.91 × 8,653.43
  4. Step 4: Simplify right side
    25,293.50x = 328,319,071.22
  5. Step 5: Solve for x
    x = 328,319,071.22/25,293.50
  6. Step 6: Final answer
    x = 12,980.37

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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.