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Finding the Fourth Proportional to 19,243.14, 28,864.89 and 6,094.50

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Solution

The fourth proportional to 19,243.14, 28,864.89 and 6,094.50 is: 9,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,243.14 : 28,864.89 = 6,094.50 : x
  2. Step 2: Convert to fraction form
    19,243.14/28,864.89 = 6,094.50/x
  3. Step 3: Cross multiply
    19,243.14x = 28,864.89 × 6,094.50
  4. Step 4: Simplify right side
    19,243.14x = 175,917,072.11
  5. Step 5: Solve for x
    x = 175,917,072.11/19,243.14
  6. Step 6: Final answer
    x = 9,141.81

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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.