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Finding the Fourth Proportional to 25,467.65, 38,201.73 and 7,698.45

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Solution

The fourth proportional to 25,467.65, 38,201.73 and 7,698.45 is: 11,547.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,467.65 : 38,201.73 = 7,698.45 : x
  2. Step 2: Convert to fraction form
    25,467.65/38,201.73 = 7,698.45/x
  3. Step 3: Cross multiply
    25,467.65x = 38,201.73 × 7,698.45
  4. Step 4: Simplify right side
    25,467.65x = 294,094,108.32
  5. Step 5: Solve for x
    x = 294,094,108.32/25,467.65
  6. Step 6: Final answer
    x = 11,547.75

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