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Finding the Fourth Proportional to 27,947.58, 38,570.49 and 16,012.50

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Solution

The fourth proportional to 27,947.58, 38,570.49 and 16,012.50 is: 22,098.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,947.58 : 38,570.49 = 16,012.50 : x
  2. Step 2: Convert to fraction form
    27,947.58/38,570.49 = 16,012.50/x
  3. Step 3: Cross multiply
    27,947.58x = 38,570.49 × 16,012.50
  4. Step 4: Simplify right side
    27,947.58x = 617,609,971.13
  5. Step 5: Solve for x
    x = 617,609,971.13/27,947.58
  6. Step 6: Final answer
    x = 22,098.87

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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.