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Finding the Fourth Proportional to 20,919, 31,492.63 and 19,081.88

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Solution

The fourth proportional to 20,919, 31,492.63 and 19,081.88 is: 28,726.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,919 : 31,492.63 = 19,081.88 : x
  2. Step 2: Convert to fraction form
    20,919/31,492.63 = 19,081.88/x
  3. Step 3: Cross multiply
    20,919x = 31,492.63 × 19,081.88
  4. Step 4: Simplify right side
    20,919x = 600,938,586.54
  5. Step 5: Solve for x
    x = 600,938,586.54/20,919
  6. Step 6: Final answer
    x = 28,726.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.