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Finding the Fourth Proportional to 18,097, 24,967.14 and 11,371.24

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Solution

The fourth proportional to 18,097, 24,967.14 and 11,371.24 is: 15,688.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097 : 24,967.14 = 11,371.24 : x
  2. Step 2: Convert to fraction form
    18,097/24,967.14 = 11,371.24/x
  3. Step 3: Cross multiply
    18,097x = 24,967.14 × 11,371.24
  4. Step 4: Simplify right side
    18,097x = 283,907,341.05
  5. Step 5: Solve for x
    x = 283,907,341.05/18,097
  6. Step 6: Final answer
    x = 15,688.09

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1.5x scale

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.