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Finding the Fourth Proportional to 20,281.29, 30,423.72 and 7,133.76

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Solution

The fourth proportional to 20,281.29, 30,423.72 and 7,133.76 is: 10,701.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,281.29 : 30,423.72 = 7,133.76 : x
  2. Step 2: Convert to fraction form
    20,281.29/30,423.72 = 7,133.76/x
  3. Step 3: Cross multiply
    20,281.29x = 30,423.72 × 7,133.76
  4. Step 4: Simplify right side
    20,281.29x = 217,035,516.79
  5. Step 5: Solve for x
    x = 217,035,516.79/20,281.29
  6. Step 6: Final answer
    x = 10,701.27

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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.