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Finding the Fourth Proportional to 18,378.56, 25,368.19 and 10,824.38

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Solution

The fourth proportional to 18,378.56, 25,368.19 and 10,824.38 is: 14,941.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,378.56 : 25,368.19 = 10,824.38 : x
  2. Step 2: Convert to fraction form
    18,378.56/25,368.19 = 10,824.38/x
  3. Step 3: Cross multiply
    18,378.56x = 25,368.19 × 10,824.38
  4. Step 4: Simplify right side
    18,378.56x = 274,594,928.47
  5. Step 5: Solve for x
    x = 274,594,928.47/18,378.56
  6. Step 6: Final answer
    x = 14,941.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.