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Finding the Fourth Proportional to 24,447, 33,739.02 and 14,370.38

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Solution

The fourth proportional to 24,447, 33,739.02 and 14,370.38 is: 19,832.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,447 : 33,739.02 = 14,370.38 : x
  2. Step 2: Convert to fraction form
    24,447/33,739.02 = 14,370.38/x
  3. Step 3: Cross multiply
    24,447x = 33,739.02 × 14,370.38
  4. Step 4: Simplify right side
    24,447x = 484,842,538.23
  5. Step 5: Solve for x
    x = 484,842,538.23/24,447
  6. Step 6: Final answer
    x = 19,832.39

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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.