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Finding the Fourth Proportional to 24,096.84, 36,139.68 and 6,563.16

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Solution

The fourth proportional to 24,096.84, 36,139.68 and 6,563.16 is: 9,843.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,096.84 : 36,139.68 = 6,563.16 : x
  2. Step 2: Convert to fraction form
    24,096.84/36,139.68 = 6,563.16/x
  3. Step 3: Cross multiply
    24,096.84x = 36,139.68 × 6,563.16
  4. Step 4: Simplify right side
    24,096.84x = 237,190,502.19
  5. Step 5: Solve for x
    x = 237,190,502.19/24,096.84
  6. Step 6: Final answer
    x = 9,843.22

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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.