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Finding the Fourth Proportional to 24,305.60, 36,463.57 and 7,670.43

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Solution

The fourth proportional to 24,305.60, 36,463.57 and 7,670.43 is: 11,507.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,305.60 : 36,463.57 = 7,670.43 : x
  2. Step 2: Convert to fraction form
    24,305.60/36,463.57 = 7,670.43/x
  3. Step 3: Cross multiply
    24,305.60x = 36,463.57 × 7,670.43
  4. Step 4: Simplify right side
    24,305.60x = 279,691,242.06
  5. Step 5: Solve for x
    x = 279,691,242.06/24,305.60
  6. Step 6: Final answer
    x = 11,507.27

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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.