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Finding the Fourth Proportional to 18,382.40, 25,368.24 and 10,424.24

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Solution

The fourth proportional to 18,382.40, 25,368.24 and 10,424.24 is: 14,385.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,382.40 : 25,368.24 = 10,424.24 : x
  2. Step 2: Convert to fraction form
    18,382.40/25,368.24 = 10,424.24/x
  3. Step 3: Cross multiply
    18,382.40x = 25,368.24 × 10,424.24
  4. Step 4: Simplify right side
    18,382.40x = 264,444,622.14
  5. Step 5: Solve for x
    x = 264,444,622.14/18,382.40
  6. Step 6: Final answer
    x = 14,385.75

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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.