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Finding the Fourth Proportional to 20,930.32, 31,364.76 and 10,527.76

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Solution

The fourth proportional to 20,930.32, 31,364.76 and 10,527.76 is: 15,776.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,930.32 : 31,364.76 = 10,527.76 : x
  2. Step 2: Convert to fraction form
    20,930.32/31,364.76 = 10,527.76/x
  3. Step 3: Cross multiply
    20,930.32x = 31,364.76 × 10,527.76
  4. Step 4: Simplify right side
    20,930.32x = 330,200,665.74
  5. Step 5: Solve for x
    x = 330,200,665.74/20,930.32
  6. Step 6: Final answer
    x = 15,776.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.