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Finding the Fourth Proportional to 18,382.30, 25,366.56 and 10,424.32

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Solution

The fourth proportional to 18,382.30, 25,366.56 and 10,424.32 is: 14,384.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,382.30 : 25,366.56 = 10,424.32 : x
  2. Step 2: Convert to fraction form
    18,382.30/25,366.56 = 10,424.32/x
  3. Step 3: Cross multiply
    18,382.30x = 25,366.56 × 10,424.32
  4. Step 4: Simplify right side
    18,382.30x = 264,429,138.74
  5. Step 5: Solve for x
    x = 264,429,138.74/18,382.30
  6. Step 6: Final answer
    x = 14,384.99

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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.