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Finding the Fourth Proportional to 18,534.50, 27,804.63 and 6,225.38

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Solution

The fourth proportional to 18,534.50, 27,804.63 and 6,225.38 is: 9,339.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,534.50 : 27,804.63 = 6,225.38 : x
  2. Step 2: Convert to fraction form
    18,534.50/27,804.63 = 6,225.38/x
  3. Step 3: Cross multiply
    18,534.50x = 27,804.63 × 6,225.38
  4. Step 4: Simplify right side
    18,534.50x = 173,094,387.51
  5. Step 5: Solve for x
    x = 173,094,387.51/18,534.50
  6. Step 6: Final answer
    x = 9,339.04

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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.