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Finding the Fourth Proportional to 18,378.66, 25,362.84 and 10,420.71

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Solution

The fourth proportional to 18,378.66, 25,362.84 and 10,420.71 is: 14,380.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,378.66 : 25,362.84 = 10,420.71 : x
  2. Step 2: Convert to fraction form
    18,378.66/25,362.84 = 10,420.71/x
  3. Step 3: Cross multiply
    18,378.66x = 25,362.84 × 10,420.71
  4. Step 4: Simplify right side
    18,378.66x = 264,298,800.42
  5. Step 5: Solve for x
    x = 264,298,800.42/18,378.66
  6. Step 6: Final answer
    x = 14,380.74

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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.