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Finding the Fourth Proportional to 19,093, 26,348.36 and 10,709.50

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Solution

The fourth proportional to 19,093, 26,348.36 and 10,709.50 is: 14,779.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,093 : 26,348.36 = 10,709.50 : x
  2. Step 2: Convert to fraction form
    19,093/26,348.36 = 10,709.50/x
  3. Step 3: Cross multiply
    19,093x = 26,348.36 × 10,709.50
  4. Step 4: Simplify right side
    19,093x = 282,177,761.42
  5. Step 5: Solve for x
    x = 282,177,761.42/19,093
  6. Step 6: Final answer
    x = 14,779.12

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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.