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Finding the Fourth Proportional to 24,629.93, 33,989.34 and 14,019.57

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Solution

The fourth proportional to 24,629.93, 33,989.34 and 14,019.57 is: 19,347.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,629.93 : 33,989.34 = 14,019.57 : x
  2. Step 2: Convert to fraction form
    24,629.93/33,989.34 = 14,019.57/x
  3. Step 3: Cross multiply
    24,629.93x = 33,989.34 × 14,019.57
  4. Step 4: Simplify right side
    24,629.93x = 476,515,931.38
  5. Step 5: Solve for x
    x = 476,515,931.38/24,629.93
  6. Step 6: Final answer
    x = 19,347.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.