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Finding the Fourth Proportional to 19,830.34, 27,365.97 and 10,878.67

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Solution

The fourth proportional to 19,830.34, 27,365.97 and 10,878.67 is: 15,012.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,830.34 : 27,365.97 = 10,878.67 : x
  2. Step 2: Convert to fraction form
    19,830.34/27,365.97 = 10,878.67/x
  3. Step 3: Cross multiply
    19,830.34x = 27,365.97 × 10,878.67
  4. Step 4: Simplify right side
    19,830.34x = 297,705,356.86
  5. Step 5: Solve for x
    x = 297,705,356.86/19,830.34
  6. Step 6: Final answer
    x = 15,012.62

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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.