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Finding the Fourth Proportional to 21,038.32, 31,556.78 and 8,554.66

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Solution

The fourth proportional to 21,038.32, 31,556.78 and 8,554.66 is: 12,831.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,038.32 : 31,556.78 = 8,554.66 : x
  2. Step 2: Convert to fraction form
    21,038.32/31,556.78 = 8,554.66/x
  3. Step 3: Cross multiply
    21,038.32x = 31,556.78 × 8,554.66
  4. Step 4: Simplify right side
    21,038.32x = 269,957,523.59
  5. Step 5: Solve for x
    x = 269,957,523.59/21,038.32
  6. Step 6: Final answer
    x = 12,831.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.