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Finding the Fourth Proportional to 24,597.09, 33,943.40 and 13,986.06

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Solution

The fourth proportional to 24,597.09, 33,943.40 and 13,986.06 is: 19,300.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,597.09 : 33,943.40 = 13,986.06 : x
  2. Step 2: Convert to fraction form
    24,597.09/33,943.40 = 13,986.06/x
  3. Step 3: Cross multiply
    24,597.09x = 33,943.40 × 13,986.06
  4. Step 4: Simplify right side
    24,597.09x = 474,734,359.07
  5. Step 5: Solve for x
    x = 474,734,359.07/24,597.09
  6. Step 6: Final answer
    x = 19,300.43

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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.