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Finding the Fourth Proportional to 12,526.65, 17,286.53 and 7,221.33

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Solution

The fourth proportional to 12,526.65, 17,286.53 and 7,221.33 is: 9,965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,526.65 : 17,286.53 = 7,221.33 : x
  2. Step 2: Convert to fraction form
    12,526.65/17,286.53 = 7,221.33/x
  3. Step 3: Cross multiply
    12,526.65x = 17,286.53 × 7,221.33
  4. Step 4: Simplify right side
    12,526.65x = 124,831,701.58
  5. Step 5: Solve for x
    x = 124,831,701.58/12,526.65
  6. Step 6: Final answer
    x = 9,965.29

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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.