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Finding the Fourth Proportional to 20,582.54, 30,849.02 and 9,474.02

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Solution

The fourth proportional to 20,582.54, 30,849.02 and 9,474.02 is: 14,199.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,582.54 : 30,849.02 = 9,474.02 : x
  2. Step 2: Convert to fraction form
    20,582.54/30,849.02 = 9,474.02/x
  3. Step 3: Cross multiply
    20,582.54x = 30,849.02 × 9,474.02
  4. Step 4: Simplify right side
    20,582.54x = 292,264,232.46
  5. Step 5: Solve for x
    x = 292,264,232.46/20,582.54
  6. Step 6: Final answer
    x = 14,199.62

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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.