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Finding the Fourth Proportional to 18,356.32, 25,323.60 and 10,900

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Solution

The fourth proportional to 18,356.32, 25,323.60 and 10,900 is: 15,037.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,356.32 : 25,323.60 = 10,900 : x
  2. Step 2: Convert to fraction form
    18,356.32/25,323.60 = 10,900/x
  3. Step 3: Cross multiply
    18,356.32x = 25,323.60 × 10,900
  4. Step 4: Simplify right side
    18,356.32x = 276,027,240
  5. Step 5: Solve for x
    x = 276,027,240/18,356.32
  6. Step 6: Final answer
    x = 15,037.18

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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.