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Finding the Fourth Proportional to 20,285.96, 27,955.07 and 14,610

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Solution

The fourth proportional to 20,285.96, 27,955.07 and 14,610 is: 20,133.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,285.96 : 27,955.07 = 14,610 : x
  2. Step 2: Convert to fraction form
    20,285.96/27,955.07 = 14,610/x
  3. Step 3: Cross multiply
    20,285.96x = 27,955.07 × 14,610
  4. Step 4: Simplify right side
    20,285.96x = 408,423,572.70
  5. Step 5: Solve for x
    x = 408,423,572.70/20,285.96
  6. Step 6: Final answer
    x = 20,133.31

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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.