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Finding the Fourth Proportional to 21,962.29, 30,308.47 and 12,405.25

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Solution

The fourth proportional to 21,962.29, 30,308.47 and 12,405.25 is: 17,119.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,962.29 : 30,308.47 = 12,405.25 : x
  2. Step 2: Convert to fraction form
    21,962.29/30,308.47 = 12,405.25/x
  3. Step 3: Cross multiply
    21,962.29x = 30,308.47 × 12,405.25
  4. Step 4: Simplify right side
    21,962.29x = 375,984,040.68
  5. Step 5: Solve for x
    x = 375,984,040.68/21,962.29
  6. Step 6: Final answer
    x = 17,119.53

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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.