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Finding the Fourth Proportional to 24,293.70, 33,533.70 and 14,225.38

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Solution

The fourth proportional to 24,293.70, 33,533.70 and 14,225.38 is: 19,635.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,293.70 : 33,533.70 = 14,225.38 : x
  2. Step 2: Convert to fraction form
    24,293.70/33,533.70 = 14,225.38/x
  3. Step 3: Cross multiply
    24,293.70x = 33,533.70 × 14,225.38
  4. Step 4: Simplify right side
    24,293.70x = 477,029,625.31
  5. Step 5: Solve for x
    x = 477,029,625.31/24,293.70
  6. Step 6: Final answer
    x = 19,635.94

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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.