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Finding the Fourth Proportional to 18,673.32, 25,769.74 and 10,176

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Solution

The fourth proportional to 18,673.32, 25,769.74 and 10,176 is: 14,043.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,673.32 : 25,769.74 = 10,176 : x
  2. Step 2: Convert to fraction form
    18,673.32/25,769.74 = 10,176/x
  3. Step 3: Cross multiply
    18,673.32x = 25,769.74 × 10,176
  4. Step 4: Simplify right side
    18,673.32x = 262,232,874.24
  5. Step 5: Solve for x
    x = 262,232,874.24/18,673.32
  6. Step 6: Final answer
    x = 14,043.18

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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.