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Finding the Fourth Proportional to 18,235.50, 27,342.31 and 7,128.96

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Solution

The fourth proportional to 18,235.50, 27,342.31 and 7,128.96 is: 10,689.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,235.50 : 27,342.31 = 7,128.96 : x
  2. Step 2: Convert to fraction form
    18,235.50/27,342.31 = 7,128.96/x
  3. Step 3: Cross multiply
    18,235.50x = 27,342.31 × 7,128.96
  4. Step 4: Simplify right side
    18,235.50x = 194,922,281.11
  5. Step 5: Solve for x
    x = 194,922,281.11/18,235.50
  6. Step 6: Final answer
    x = 10,689.16

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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.