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Finding the Fourth Proportional to 18,646.14, 25,731.66 and 10,262.64

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Solution

The fourth proportional to 18,646.14, 25,731.66 and 10,262.64 is: 14,162.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,646.14 : 25,731.66 = 10,262.64 : x
  2. Step 2: Convert to fraction form
    18,646.14/25,731.66 = 10,262.64/x
  3. Step 3: Cross multiply
    18,646.14x = 25,731.66 × 10,262.64
  4. Step 4: Simplify right side
    18,646.14x = 264,074,763.18
  5. Step 5: Solve for x
    x = 264,074,763.18/18,646.14
  6. Step 6: Final answer
    x = 14,162.44

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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.