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Finding the Fourth Proportional to 25,408.23, 38,111.99 and 7,878.05

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Solution

The fourth proportional to 25,408.23, 38,111.99 and 7,878.05 is: 11,816.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,408.23 : 38,111.99 = 7,878.05 : x
  2. Step 2: Convert to fraction form
    25,408.23/38,111.99 = 7,878.05/x
  3. Step 3: Cross multiply
    25,408.23x = 38,111.99 × 7,878.05
  4. Step 4: Simplify right side
    25,408.23x = 300,248,075.79
  5. Step 5: Solve for x
    x = 300,248,075.79/25,408.23
  6. Step 6: Final answer
    x = 11,816.96

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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.