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Finding the Fourth Proportional to 18,097.40, 27,093.30 and 12,913.40

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Solution

The fourth proportional to 18,097.40, 27,093.30 and 12,913.40 is: 19,332.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,097.40 : 27,093.30 = 12,913.40 : x
  2. Step 2: Convert to fraction form
    18,097.40/27,093.30 = 12,913.40/x
  3. Step 3: Cross multiply
    18,097.40x = 27,093.30 × 12,913.40
  4. Step 4: Simplify right side
    18,097.40x = 349,866,620.22
  5. Step 5: Solve for x
    x = 349,866,620.22/18,097.40
  6. Step 6: Final answer
    x = 19,332.42

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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.