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Finding the Fourth Proportional to 25,616.40, 38,430.06 and 8,977.44

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Solution

The fourth proportional to 25,616.40, 38,430.06 and 8,977.44 is: 13,468.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,616.40 : 38,430.06 = 8,977.44 : x
  2. Step 2: Convert to fraction form
    25,616.40/38,430.06 = 8,977.44/x
  3. Step 3: Cross multiply
    25,616.40x = 38,430.06 × 8,977.44
  4. Step 4: Simplify right side
    25,616.40x = 345,003,557.85
  5. Step 5: Solve for x
    x = 345,003,557.85/25,616.40
  6. Step 6: Final answer
    x = 13,468.07

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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.