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Finding the Fourth Proportional to 25,995, 38,996.55 and 8,460.69

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Solution

The fourth proportional to 25,995, 38,996.55 and 8,460.69 is: 12,692.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,995 : 38,996.55 = 8,460.69 : x
  2. Step 2: Convert to fraction form
    25,995/38,996.55 = 8,460.69/x
  3. Step 3: Cross multiply
    25,995x = 38,996.55 × 8,460.69
  4. Step 4: Simplify right side
    25,995x = 329,937,720.62
  5. Step 5: Solve for x
    x = 329,937,720.62/25,995
  6. Step 6: Final answer
    x = 12,692.35

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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.