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Finding the Fourth Proportional to 20,078.40, 27,699.30 and 14,113.97

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Solution

The fourth proportional to 20,078.40, 27,699.30 and 14,113.97 is: 19,471.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,078.40 : 27,699.30 = 14,113.97 : x
  2. Step 2: Convert to fraction form
    20,078.40/27,699.30 = 14,113.97/x
  3. Step 3: Cross multiply
    20,078.40x = 27,699.30 × 14,113.97
  4. Step 4: Simplify right side
    20,078.40x = 390,946,950.72
  5. Step 5: Solve for x
    x = 390,946,950.72/20,078.40
  6. Step 6: Final answer
    x = 19,471.02

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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.