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Finding the Fourth Proportional to 20,521.72, 30,783.50 and 6,289.15

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Solution

The fourth proportional to 20,521.72, 30,783.50 and 6,289.15 is: 9,434.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,521.72 : 30,783.50 = 6,289.15 : x
  2. Step 2: Convert to fraction form
    20,521.72/30,783.50 = 6,289.15/x
  3. Step 3: Cross multiply
    20,521.72x = 30,783.50 × 6,289.15
  4. Step 4: Simplify right side
    20,521.72x = 193,602,049.03
  5. Step 5: Solve for x
    x = 193,602,049.03/20,521.72
  6. Step 6: Final answer
    x = 9,434.01

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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.