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Finding the Fourth Proportional to 21,482.68, 32,233.26 and 11,629

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Solution

The fourth proportional to 21,482.68, 32,233.26 and 11,629 is: 17,448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,482.68 : 32,233.26 = 11,629 : x
  2. Step 2: Convert to fraction form
    21,482.68/32,233.26 = 11,629/x
  3. Step 3: Cross multiply
    21,482.68x = 32,233.26 × 11,629
  4. Step 4: Simplify right side
    21,482.68x = 374,840,580.54
  5. Step 5: Solve for x
    x = 374,840,580.54/21,482.68
  6. Step 6: Final answer
    x = 17,448.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.