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Finding the Fourth Proportional to 24,580.26, 33,922.26 and 13,971.96

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Solution

The fourth proportional to 24,580.26, 33,922.26 and 13,971.96 is: 19,282.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,580.26 : 33,922.26 = 13,971.96 : x
  2. Step 2: Convert to fraction form
    24,580.26/33,922.26 = 13,971.96/x
  3. Step 3: Cross multiply
    24,580.26x = 33,922.26 × 13,971.96
  4. Step 4: Simplify right side
    24,580.26x = 473,960,459.83
  5. Step 5: Solve for x
    x = 473,960,459.83/24,580.26
  6. Step 6: Final answer
    x = 19,282.16

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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.