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Finding the Fourth Proportional to 12,833, 17,709.70 and 7,244.04

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Solution

The fourth proportional to 12,833, 17,709.70 and 7,244.04 is: 9,996.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833 : 17,709.70 = 7,244.04 : x
  2. Step 2: Convert to fraction form
    12,833/17,709.70 = 7,244.04/x
  3. Step 3: Cross multiply
    12,833x = 17,709.70 × 7,244.04
  4. Step 4: Simplify right side
    12,833x = 128,289,775.19
  5. Step 5: Solve for x
    x = 128,289,775.19/12,833
  6. Step 6: Final answer
    x = 9,996.87

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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.