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Finding the Fourth Proportional to 18,769.90, 25,902.14 and 10,386.40

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Solution

The fourth proportional to 18,769.90, 25,902.14 and 10,386.40 is: 14,333.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,769.90 : 25,902.14 = 10,386.40 : x
  2. Step 2: Convert to fraction form
    18,769.90/25,902.14 = 10,386.40/x
  3. Step 3: Cross multiply
    18,769.90x = 25,902.14 × 10,386.40
  4. Step 4: Simplify right side
    18,769.90x = 269,029,986.90
  5. Step 5: Solve for x
    x = 269,029,986.90/18,769.90
  6. Step 6: Final answer
    x = 14,333.05

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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.