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Finding the Fourth Proportional to 13,465.40, 18,584.52 and 8,684

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Solution

The fourth proportional to 13,465.40, 18,584.52 and 8,684 is: 11,985.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,465.40 : 18,584.52 = 8,684 : x
  2. Step 2: Convert to fraction form
    13,465.40/18,584.52 = 8,684/x
  3. Step 3: Cross multiply
    13,465.40x = 18,584.52 × 8,684
  4. Step 4: Simplify right side
    13,465.40x = 161,387,971.68
  5. Step 5: Solve for x
    x = 161,387,971.68/13,465.40
  6. Step 6: Final answer
    x = 11,985.38

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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.