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Finding the Fourth Proportional to 24,096.49, 36,146.15 and 9,305.48

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Solution

The fourth proportional to 24,096.49, 36,146.15 and 9,305.48 is: 13,958.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,096.49 : 36,146.15 = 9,305.48 : x
  2. Step 2: Convert to fraction form
    24,096.49/36,146.15 = 9,305.48/x
  3. Step 3: Cross multiply
    24,096.49x = 36,146.15 × 9,305.48
  4. Step 4: Simplify right side
    24,096.49x = 336,357,354.64
  5. Step 5: Solve for x
    x = 336,357,354.64/24,096.49
  6. Step 6: Final answer
    x = 13,958.77

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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.