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Finding the Fourth Proportional to 19,124.50, 26,391.82 and 10,741

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Solution

The fourth proportional to 19,124.50, 26,391.82 and 10,741 is: 14,822.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,124.50 : 26,391.82 = 10,741 : x
  2. Step 2: Convert to fraction form
    19,124.50/26,391.82 = 10,741/x
  3. Step 3: Cross multiply
    19,124.50x = 26,391.82 × 10,741
  4. Step 4: Simplify right side
    19,124.50x = 283,474,538.62
  5. Step 5: Solve for x
    x = 283,474,538.62/19,124.50
  6. Step 6: Final answer
    x = 14,822.59

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