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Finding the Fourth Proportional to 21,264.50, 31,831.11 and 13,853.00

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Solution

The fourth proportional to 21,264.50, 31,831.11 and 13,853.00 is: 20,736.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,264.50 : 31,831.11 = 13,853.00 : x
  2. Step 2: Convert to fraction form
    21,264.50/31,831.11 = 13,853.00/x
  3. Step 3: Cross multiply
    21,264.50x = 31,831.11 × 13,853.00
  4. Step 4: Simplify right side
    21,264.50x = 440,956,207.67
  5. Step 5: Solve for x
    x = 440,956,207.67/21,264.50
  6. Step 6: Final answer
    x = 20,736.74

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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.