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Finding the Fourth Proportional to 21,425.80, 32,117.10 and 9,747.40

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Solution

The fourth proportional to 21,425.80, 32,117.10 and 9,747.40 is: 14,611.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,425.80 : 32,117.10 = 9,747.40 : x
  2. Step 2: Convert to fraction form
    21,425.80/32,117.10 = 9,747.40/x
  3. Step 3: Cross multiply
    21,425.80x = 32,117.10 × 9,747.40
  4. Step 4: Simplify right side
    21,425.80x = 313,058,220.54
  5. Step 5: Solve for x
    x = 313,058,220.54/21,425.80
  6. Step 6: Final answer
    x = 14,611.27

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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.