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Finding the Fourth Proportional to 15,134.94, 22,654.53 and 8,541.54

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Solution

The fourth proportional to 15,134.94, 22,654.53 and 8,541.54 is: 12,785.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,134.94 : 22,654.53 = 8,541.54 : x
  2. Step 2: Convert to fraction form
    15,134.94/22,654.53 = 8,541.54/x
  3. Step 3: Cross multiply
    15,134.94x = 22,654.53 × 8,541.54
  4. Step 4: Simplify right side
    15,134.94x = 193,504,574.18
  5. Step 5: Solve for x
    x = 193,504,574.18/15,134.94
  6. Step 6: Final answer
    x = 12,785.29

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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.