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Finding the Fourth Proportional to 21,973.98, 32,962.32 and 7,184.46

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Solution

The fourth proportional to 21,973.98, 32,962.32 and 7,184.46 is: 10,777.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,973.98 : 32,962.32 = 7,184.46 : x
  2. Step 2: Convert to fraction form
    21,973.98/32,962.32 = 7,184.46/x
  3. Step 3: Cross multiply
    21,973.98x = 32,962.32 × 7,184.46
  4. Step 4: Simplify right side
    21,973.98x = 236,816,469.55
  5. Step 5: Solve for x
    x = 236,816,469.55/21,973.98
  6. Step 6: Final answer
    x = 10,777.13

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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.