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Finding the Fourth Proportional to 27,783.87, 38,340.27 and 15,206.19

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Solution

The fourth proportional to 27,783.87, 38,340.27 and 15,206.19 is: 20,983.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,783.87 : 38,340.27 = 15,206.19 : x
  2. Step 2: Convert to fraction form
    27,783.87/38,340.27 = 15,206.19/x
  3. Step 3: Cross multiply
    27,783.87x = 38,340.27 × 15,206.19
  4. Step 4: Simplify right side
    27,783.87x = 583,009,430.27
  5. Step 5: Solve for x
    x = 583,009,430.27/27,783.87
  6. Step 6: Final answer
    x = 20,983.74

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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.