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Finding the Fourth Proportional to 13,820.79, 19,073.21 and 7,853.47

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Solution

The fourth proportional to 13,820.79, 19,073.21 and 7,853.47 is: 10,838.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,820.79 : 19,073.21 = 7,853.47 : x
  2. Step 2: Convert to fraction form
    13,820.79/19,073.21 = 7,853.47/x
  3. Step 3: Cross multiply
    13,820.79x = 19,073.21 × 7,853.47
  4. Step 4: Simplify right side
    13,820.79x = 149,790,882.54
  5. Step 5: Solve for x
    x = 149,790,882.54/13,820.79
  6. Step 6: Final answer
    x = 10,838.08

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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.