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Finding the Fourth Proportional to 20,784.42, 31,158.81 and 7,630.02

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Solution

The fourth proportional to 20,784.42, 31,158.81 and 7,630.02 is: 11,438.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,784.42 : 31,158.81 = 7,630.02 : x
  2. Step 2: Convert to fraction form
    20,784.42/31,158.81 = 7,630.02/x
  3. Step 3: Cross multiply
    20,784.42x = 31,158.81 × 7,630.02
  4. Step 4: Simplify right side
    20,784.42x = 237,742,343.48
  5. Step 5: Solve for x
    x = 237,742,343.48/20,784.42
  6. Step 6: Final answer
    x = 11,438.49

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Why These Related Problems?

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