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Finding the Fourth Proportional to 18,538.34, 27,813.68 and 12,322.80

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Solution

The fourth proportional to 18,538.34, 27,813.68 and 12,322.80 is: 18,488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,538.34 : 27,813.68 = 12,322.80 : x
  2. Step 2: Convert to fraction form
    18,538.34/27,813.68 = 12,322.80/x
  3. Step 3: Cross multiply
    18,538.34x = 27,813.68 × 12,322.80
  4. Step 4: Simplify right side
    18,538.34x = 342,742,400.50
  5. Step 5: Solve for x
    x = 342,742,400.50/18,538.34
  6. Step 6: Final answer
    x = 18,488.31

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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.