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Finding the Fourth Proportional to 18,684.60, 25,784.32 and 10,186.38

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Solution

The fourth proportional to 18,684.60, 25,784.32 and 10,186.38 is: 14,056.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,684.60 : 25,784.32 = 10,186.38 : x
  2. Step 2: Convert to fraction form
    18,684.60/25,784.32 = 10,186.38/x
  3. Step 3: Cross multiply
    18,684.60x = 25,784.32 × 10,186.38
  4. Step 4: Simplify right side
    18,684.60x = 262,648,881.56
  5. Step 5: Solve for x
    x = 262,648,881.56/18,684.60
  6. Step 6: Final answer
    x = 14,056.97

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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.