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Finding the Fourth Proportional to 18,176.40, 27,216 and 10,374.48

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Solution

The fourth proportional to 18,176.40, 27,216 and 10,374.48 is: 15,533.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,176.40 : 27,216 = 10,374.48 : x
  2. Step 2: Convert to fraction form
    18,176.40/27,216 = 10,374.48/x
  3. Step 3: Cross multiply
    18,176.40x = 27,216 × 10,374.48
  4. Step 4: Simplify right side
    18,176.40x = 282,351,847.68
  5. Step 5: Solve for x
    x = 282,351,847.68/18,176.40
  6. Step 6: Final answer
    x = 15,533.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.