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Finding the Fourth Proportional to 24,647.20, 36,985.20 and 9,066.40

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Solution

The fourth proportional to 24,647.20, 36,985.20 and 9,066.40 is: 13,604.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,647.20 : 36,985.20 = 9,066.40 : x
  2. Step 2: Convert to fraction form
    24,647.20/36,985.20 = 9,066.40/x
  3. Step 3: Cross multiply
    24,647.20x = 36,985.20 × 9,066.40
  4. Step 4: Simplify right side
    24,647.20x = 335,322,617.28
  5. Step 5: Solve for x
    x = 335,322,617.28/24,647.20
  6. Step 6: Final answer
    x = 13,604.90

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Why These Related Problems?

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