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Finding the Fourth Proportional to 17,576.16, 24,257.34 and 10,025.16

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Solution

The fourth proportional to 17,576.16, 24,257.34 and 10,025.16 is: 13,836.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,576.16 : 24,257.34 = 10,025.16 : x
  2. Step 2: Convert to fraction form
    17,576.16/24,257.34 = 10,025.16/x
  3. Step 3: Cross multiply
    17,576.16x = 24,257.34 × 10,025.16
  4. Step 4: Simplify right side
    17,576.16x = 243,183,714.67
  5. Step 5: Solve for x
    x = 243,183,714.67/17,576.16
  6. Step 6: Final answer
    x = 13,836.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.