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Finding the Fourth Proportional to 12,971.34, 17,902.89 and 10,339.38

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Solution

The fourth proportional to 12,971.34, 17,902.89 and 10,339.38 is: 14,270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,971.34 : 17,902.89 = 10,339.38 : x
  2. Step 2: Convert to fraction form
    12,971.34/17,902.89 = 10,339.38/x
  3. Step 3: Cross multiply
    12,971.34x = 17,902.89 × 10,339.38
  4. Step 4: Simplify right side
    12,971.34x = 185,104,782.81
  5. Step 5: Solve for x
    x = 185,104,782.81/12,971.34
  6. Step 6: Final answer
    x = 14,270.29

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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.