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Finding the Fourth Proportional to 21,975.50, 32,965.28 and 7,184.49

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Solution

The fourth proportional to 21,975.50, 32,965.28 and 7,184.49 is: 10,777.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,975.50 : 32,965.28 = 7,184.49 : x
  2. Step 2: Convert to fraction form
    21,975.50/32,965.28 = 7,184.49/x
  3. Step 3: Cross multiply
    21,975.50x = 32,965.28 × 7,184.49
  4. Step 4: Simplify right side
    21,975.50x = 236,838,688.58
  5. Step 5: Solve for x
    x = 236,838,688.58/21,975.50
  6. Step 6: Final answer
    x = 10,777.40

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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.