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Finding the Fourth Proportional to 12,893.82, 19,331.28 and 4,123.68

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Solution

The fourth proportional to 12,893.82, 19,331.28 and 4,123.68 is: 6,182.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,893.82 : 19,331.28 = 4,123.68 : x
  2. Step 2: Convert to fraction form
    12,893.82/19,331.28 = 4,123.68/x
  3. Step 3: Cross multiply
    12,893.82x = 19,331.28 × 4,123.68
  4. Step 4: Simplify right side
    12,893.82x = 79,716,012.71
  5. Step 5: Solve for x
    x = 79,716,012.71/12,893.82
  6. Step 6: Final answer
    x = 6,182.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.