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Finding the Fourth Proportional to 24,429.98, 33,741.06 and 16,458.38

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Solution

The fourth proportional to 24,429.98, 33,741.06 and 16,458.38 is: 22,731.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,429.98 : 33,741.06 = 16,458.38 : x
  2. Step 2: Convert to fraction form
    24,429.98/33,741.06 = 16,458.38/x
  3. Step 3: Cross multiply
    24,429.98x = 33,741.06 × 16,458.38
  4. Step 4: Simplify right side
    24,429.98x = 555,323,187.08
  5. Step 5: Solve for x
    x = 555,323,187.08/24,429.98
  6. Step 6: Final answer
    x = 22,731.22

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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.