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Finding the Fourth Proportional to 18,824.04, 25,975.98 and 10,440

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Solution

The fourth proportional to 18,824.04, 25,975.98 and 10,440 is: 14,406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,824.04 : 25,975.98 = 10,440 : x
  2. Step 2: Convert to fraction form
    18,824.04/25,975.98 = 10,440/x
  3. Step 3: Cross multiply
    18,824.04x = 25,975.98 × 10,440
  4. Step 4: Simplify right side
    18,824.04x = 271,189,231.20
  5. Step 5: Solve for x
    x = 271,189,231.20/18,824.04
  6. Step 6: Final answer
    x = 14,406.54

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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.