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Finding the Fourth Proportional to 17,270.84, 23,832.38 and 9,715.67

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Solution

The fourth proportional to 17,270.84, 23,832.38 and 9,715.67 is: 13,406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,270.84 : 23,832.38 = 9,715.67 : x
  2. Step 2: Convert to fraction form
    17,270.84/23,832.38 = 9,715.67/x
  3. Step 3: Cross multiply
    17,270.84x = 23,832.38 × 9,715.67
  4. Step 4: Simplify right side
    17,270.84x = 231,547,420.23
  5. Step 5: Solve for x
    x = 231,547,420.23/17,270.84
  6. Step 6: Final answer
    x = 13,406.85

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Why These Related Problems?

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