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Finding the Fourth Proportional to 13,789.17, 19,029.20 and 7,820.69

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Solution

The fourth proportional to 13,789.17, 19,029.20 and 7,820.69 is: 10,792.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,789.17 : 19,029.20 = 7,820.69 : x
  2. Step 2: Convert to fraction form
    13,789.17/19,029.20 = 7,820.69/x
  3. Step 3: Cross multiply
    13,789.17x = 19,029.20 × 7,820.69
  4. Step 4: Simplify right side
    13,789.17x = 148,821,339.90
  5. Step 5: Solve for x
    x = 148,821,339.90/13,789.17
  6. Step 6: Final answer
    x = 10,792.62

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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.