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Finding the Fourth Proportional to 19,768.50, 27,281.34 and 11,385

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Solution

The fourth proportional to 19,768.50, 27,281.34 and 11,385 is: 15,711.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,768.50 : 27,281.34 = 11,385 : x
  2. Step 2: Convert to fraction form
    19,768.50/27,281.34 = 11,385/x
  3. Step 3: Cross multiply
    19,768.50x = 27,281.34 × 11,385
  4. Step 4: Simplify right side
    19,768.50x = 310,598,055.90
  5. Step 5: Solve for x
    x = 310,598,055.90/19,768.50
  6. Step 6: Final answer
    x = 15,711.77

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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.