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Finding the Fourth Proportional to 27,548, 38,015.96 and 14,972.80

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Solution

The fourth proportional to 27,548, 38,015.96 and 14,972.80 is: 20,662.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,548 : 38,015.96 = 14,972.80 : x
  2. Step 2: Convert to fraction form
    27,548/38,015.96 = 14,972.80/x
  3. Step 3: Cross multiply
    27,548x = 38,015.96 × 14,972.80
  4. Step 4: Simplify right side
    27,548x = 569,205,365.89
  5. Step 5: Solve for x
    x = 569,205,365.89/27,548
  6. Step 6: Final answer
    x = 20,662.31

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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.