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Finding the Fourth Proportional to 24,885.72, 37,318.86 and 11,025

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Solution

The fourth proportional to 24,885.72, 37,318.86 and 11,025 is: 16,533.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,885.72 : 37,318.86 = 11,025 : x
  2. Step 2: Convert to fraction form
    24,885.72/37,318.86 = 11,025/x
  3. Step 3: Cross multiply
    24,885.72x = 37,318.86 × 11,025
  4. Step 4: Simplify right side
    24,885.72x = 411,440,431.50
  5. Step 5: Solve for x
    x = 411,440,431.50/24,885.72
  6. Step 6: Final answer
    x = 16,533.19

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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.