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Finding the Fourth Proportional to 18,594, 25,659.57 and 10,095.96

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Solution

The fourth proportional to 18,594, 25,659.57 and 10,095.96 is: 13,932.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,594 : 25,659.57 = 10,095.96 : x
  2. Step 2: Convert to fraction form
    18,594/25,659.57 = 10,095.96/x
  3. Step 3: Cross multiply
    18,594x = 25,659.57 × 10,095.96
  4. Step 4: Simplify right side
    18,594x = 259,057,992.34
  5. Step 5: Solve for x
    x = 259,057,992.34/18,594
  6. Step 6: Final answer
    x = 13,932.34

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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.