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Finding the Fourth Proportional to 24,596.53, 33,943.04 and 13,986.16

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Solution

The fourth proportional to 24,596.53, 33,943.04 and 13,986.16 is: 19,300.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,596.53 : 33,943.04 = 13,986.16 : x
  2. Step 2: Convert to fraction form
    24,596.53/33,943.04 = 13,986.16/x
  3. Step 3: Cross multiply
    24,596.53x = 33,943.04 × 13,986.16
  4. Step 4: Simplify right side
    24,596.53x = 474,732,618.61
  5. Step 5: Solve for x
    x = 474,732,618.61/24,596.53
  6. Step 6: Final answer
    x = 19,300.80

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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.