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Finding the Fourth Proportional to 28,594.80, 42,896.28 and 10,831.98

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Solution

The fourth proportional to 28,594.80, 42,896.28 and 10,831.98 is: 16,249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,594.80 : 42,896.28 = 10,831.98 : x
  2. Step 2: Convert to fraction form
    28,594.80/42,896.28 = 10,831.98/x
  3. Step 3: Cross multiply
    28,594.80x = 42,896.28 × 10,831.98
  4. Step 4: Simplify right side
    28,594.80x = 464,651,647.03
  5. Step 5: Solve for x
    x = 464,651,647.03/28,594.80
  6. Step 6: Final answer
    x = 16,249.52

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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.