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Finding the Fourth Proportional to 14,338.01, 21,513.47 and 7,756.49

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Solution

The fourth proportional to 14,338.01, 21,513.47 and 7,756.49 is: 11,638.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,338.01 : 21,513.47 = 7,756.49 : x
  2. Step 2: Convert to fraction form
    14,338.01/21,513.47 = 7,756.49/x
  3. Step 3: Cross multiply
    14,338.01x = 21,513.47 × 7,756.49
  4. Step 4: Simplify right side
    14,338.01x = 166,869,029.92
  5. Step 5: Solve for x
    x = 166,869,029.92/14,338.01
  6. Step 6: Final answer
    x = 11,638.23

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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.