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Finding the Fourth Proportional to 19,324.61, 28,975.07 and 8,224.98

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Solution

The fourth proportional to 19,324.61, 28,975.07 and 8,224.98 is: 12,332.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,324.61 : 28,975.07 = 8,224.98 : x
  2. Step 2: Convert to fraction form
    19,324.61/28,975.07 = 8,224.98/x
  3. Step 3: Cross multiply
    19,324.61x = 28,975.07 × 8,224.98
  4. Step 4: Simplify right side
    19,324.61x = 238,319,391.81
  5. Step 5: Solve for x
    x = 238,319,391.81/19,324.61
  6. Step 6: Final answer
    x = 12,332.43

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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.