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Finding the Fourth Proportional to 21,953.49, 32,930.23 and 10,274.91

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Solution

The fourth proportional to 21,953.49, 32,930.23 and 10,274.91 is: 15,412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,953.49 : 32,930.23 = 10,274.91 : x
  2. Step 2: Convert to fraction form
    21,953.49/32,930.23 = 10,274.91/x
  3. Step 3: Cross multiply
    21,953.49x = 32,930.23 × 10,274.91
  4. Step 4: Simplify right side
    21,953.49x = 338,355,149.53
  5. Step 5: Solve for x
    x = 338,355,149.53/21,953.49
  6. Step 6: Final answer
    x = 15,412.36

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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.