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Finding the Fourth Proportional to 13,412.88, 18,501.34 and 8,639

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Solution

The fourth proportional to 13,412.88, 18,501.34 and 8,639 is: 11,916.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.88 : 18,501.34 = 8,639 : x
  2. Step 2: Convert to fraction form
    13,412.88/18,501.34 = 8,639/x
  3. Step 3: Cross multiply
    13,412.88x = 18,501.34 × 8,639
  4. Step 4: Simplify right side
    13,412.88x = 159,833,076.26
  5. Step 5: Solve for x
    x = 159,833,076.26/13,412.88
  6. Step 6: Final answer
    x = 11,916.39

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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.