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Finding the Fourth Proportional to 27,544.78, 38,011.80 and 14,969.50

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Solution

The fourth proportional to 27,544.78, 38,011.80 and 14,969.50 is: 20,657.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,544.78 : 38,011.80 = 14,969.50 : x
  2. Step 2: Convert to fraction form
    27,544.78/38,011.80 = 14,969.50/x
  3. Step 3: Cross multiply
    27,544.78x = 38,011.80 × 14,969.50
  4. Step 4: Simplify right side
    27,544.78x = 569,017,640.10
  5. Step 5: Solve for x
    x = 569,017,640.10/27,544.78
  6. Step 6: Final answer
    x = 20,657.91

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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.