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Finding the Fourth Proportional to 27,785.76, 38,344.34 and 15,210.50

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Solution

The fourth proportional to 27,785.76, 38,344.34 and 15,210.50 is: 20,990.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785.76 : 38,344.34 = 15,210.50 : x
  2. Step 2: Convert to fraction form
    27,785.76/38,344.34 = 15,210.50/x
  3. Step 3: Cross multiply
    27,785.76x = 38,344.34 × 15,210.50
  4. Step 4: Simplify right side
    27,785.76x = 583,236,583.57
  5. Step 5: Solve for x
    x = 583,236,583.57/27,785.76
  6. Step 6: Final answer
    x = 20,990.49

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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.