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Finding the Fourth Proportional to 13,487.84, 18,615.65 and 8,456.43

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Solution

The fourth proportional to 13,487.84, 18,615.65 and 8,456.43 is: 11,671.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,487.84 : 18,615.65 = 8,456.43 : x
  2. Step 2: Convert to fraction form
    13,487.84/18,615.65 = 8,456.43/x
  3. Step 3: Cross multiply
    13,487.84x = 18,615.65 × 8,456.43
  4. Step 4: Simplify right side
    13,487.84x = 157,421,869.19
  5. Step 5: Solve for x
    x = 157,421,869.19/13,487.84
  6. Step 6: Final answer
    x = 11,671.39

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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.