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Finding the Fourth Proportional to 25,281.98, 37,927.80 and 7,751.96

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Solution

The fourth proportional to 25,281.98, 37,927.80 and 7,751.96 is: 11,629.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,281.98 : 37,927.80 = 7,751.96 : x
  2. Step 2: Convert to fraction form
    25,281.98/37,927.80 = 7,751.96/x
  3. Step 3: Cross multiply
    25,281.98x = 37,927.80 × 7,751.96
  4. Step 4: Simplify right side
    25,281.98x = 294,014,788.49
  5. Step 5: Solve for x
    x = 294,014,788.49/25,281.98
  6. Step 6: Final answer
    x = 11,629.42

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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.