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Finding the Fourth Proportional to 24,580.40, 33,923.84 and 13,971.63

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Solution

The fourth proportional to 24,580.40, 33,923.84 and 13,971.63 is: 19,282.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,580.40 : 33,923.84 = 13,971.63 : x
  2. Step 2: Convert to fraction form
    24,580.40/33,923.84 = 13,971.63/x
  3. Step 3: Cross multiply
    24,580.40x = 33,923.84 × 13,971.63
  4. Step 4: Simplify right side
    24,580.40x = 473,971,270.80
  5. Step 5: Solve for x
    x = 473,971,270.80/24,580.40
  6. Step 6: Final answer
    x = 19,282.49

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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.