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Finding the Fourth Proportional to 13,684.38, 18,877.77 and 8,646.18

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Solution

The fourth proportional to 13,684.38, 18,877.77 and 8,646.18 is: 11,927.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,684.38 : 18,877.77 = 8,646.18 : x
  2. Step 2: Convert to fraction form
    13,684.38/18,877.77 = 8,646.18/x
  3. Step 3: Cross multiply
    13,684.38x = 18,877.77 × 8,646.18
  4. Step 4: Simplify right side
    13,684.38x = 163,220,597.42
  5. Step 5: Solve for x
    x = 163,220,597.42/13,684.38
  6. Step 6: Final answer
    x = 11,927.51

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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.