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Finding the Fourth Proportional to 18,287.76, 27,421.83 and 5,804.40

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Solution

The fourth proportional to 18,287.76, 27,421.83 and 5,804.40 is: 8,703.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,287.76 : 27,421.83 = 5,804.40 : x
  2. Step 2: Convert to fraction form
    18,287.76/27,421.83 = 5,804.40/x
  3. Step 3: Cross multiply
    18,287.76x = 27,421.83 × 5,804.40
  4. Step 4: Simplify right side
    18,287.76x = 159,167,270.05
  5. Step 5: Solve for x
    x = 159,167,270.05/18,287.76
  6. Step 6: Final answer
    x = 8,703.49

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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.