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Finding the Fourth Proportional to 15,364.27, 23,046.27 and 4,976.02

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Solution

The fourth proportional to 15,364.27, 23,046.27 and 4,976.02 is: 7,463.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,364.27 : 23,046.27 = 4,976.02 : x
  2. Step 2: Convert to fraction form
    15,364.27/23,046.27 = 4,976.02/x
  3. Step 3: Cross multiply
    15,364.27x = 23,046.27 × 4,976.02
  4. Step 4: Simplify right side
    15,364.27x = 114,678,700.45
  5. Step 5: Solve for x
    x = 114,678,700.45/15,364.27
  6. Step 6: Final answer
    x = 7,463.99

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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.