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Finding the Fourth Proportional to 19,830.83, 27,366.53 and 10,878.48

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Solution

The fourth proportional to 19,830.83, 27,366.53 and 10,878.48 is: 15,012.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.83 : 27,366.53 = 10,878.48 : x
  2. Step 2: Convert to fraction form
    19,830.83/27,366.53 = 10,878.48/x
  3. Step 3: Cross multiply
    19,830.83x = 27,366.53 × 10,878.48
  4. Step 4: Simplify right side
    19,830.83x = 297,706,194.88
  5. Step 5: Solve for x
    x = 297,706,194.88/19,830.83
  6. Step 6: Final answer
    x = 15,012.29

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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.