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Finding the Fourth Proportional to 12,595.75, 18,894.41 and 3,831.31

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Solution

The fourth proportional to 12,595.75, 18,894.41 and 3,831.31 is: 5,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,595.75 : 18,894.41 = 3,831.31 : x
  2. Step 2: Convert to fraction form
    12,595.75/18,894.41 = 3,831.31/x
  3. Step 3: Cross multiply
    12,595.75x = 18,894.41 × 3,831.31
  4. Step 4: Simplify right side
    12,595.75x = 72,390,341.98
  5. Step 5: Solve for x
    x = 72,390,341.98/12,595.75
  6. Step 6: Final answer
    x = 5,747.20

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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.