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Finding the Fourth Proportional to 18,684.59, 25,785.07 and 10,186.77

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Solution

The fourth proportional to 18,684.59, 25,785.07 and 10,186.77 is: 14,057.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,684.59 : 25,785.07 = 10,186.77 : x
  2. Step 2: Convert to fraction form
    18,684.59/25,785.07 = 10,186.77/x
  3. Step 3: Cross multiply
    18,684.59x = 25,785.07 × 10,186.77
  4. Step 4: Simplify right side
    18,684.59x = 262,666,648.75
  5. Step 5: Solve for x
    x = 262,666,648.75/18,684.59
  6. Step 6: Final answer
    x = 14,057.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.