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Finding the Fourth Proportional to 25,467.90, 38,202.11 and 7,698.70

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Solution

The fourth proportional to 25,467.90, 38,202.11 and 7,698.70 is: 11,548.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,467.90 : 38,202.11 = 7,698.70 : x
  2. Step 2: Convert to fraction form
    25,467.90/38,202.11 = 7,698.70/x
  3. Step 3: Cross multiply
    25,467.90x = 38,202.11 × 7,698.70
  4. Step 4: Simplify right side
    25,467.90x = 294,106,545.76
  5. Step 5: Solve for x
    x = 294,106,545.76/25,467.90
  6. Step 6: Final answer
    x = 11,548.13

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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.