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Finding the Fourth Proportional to 21,973.70, 30,323.77 and 11,902.16

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Solution

The fourth proportional to 21,973.70, 30,323.77 and 11,902.16 is: 16,425.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,973.70 : 30,323.77 = 11,902.16 : x
  2. Step 2: Convert to fraction form
    21,973.70/30,323.77 = 11,902.16/x
  3. Step 3: Cross multiply
    21,973.70x = 30,323.77 × 11,902.16
  4. Step 4: Simplify right side
    21,973.70x = 360,918,408.40
  5. Step 5: Solve for x
    x = 360,918,408.40/21,973.70
  6. Step 6: Final answer
    x = 16,425.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.