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Finding the Fourth Proportional to 24,976.52, 37,461 and 9,390.50

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Solution

The fourth proportional to 24,976.52, 37,461 and 9,390.50 is: 14,084.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,976.52 : 37,461 = 9,390.50 : x
  2. Step 2: Convert to fraction form
    24,976.52/37,461 = 9,390.50/x
  3. Step 3: Cross multiply
    24,976.52x = 37,461 × 9,390.50
  4. Step 4: Simplify right side
    24,976.52x = 351,777,520.50
  5. Step 5: Solve for x
    x = 351,777,520.50/24,976.52
  6. Step 6: Final answer
    x = 14,084.33

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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.