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Finding the Fourth Proportional to 20,059.14, 30,089.40 and 9,523.71

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Solution

The fourth proportional to 20,059.14, 30,089.40 and 9,523.71 is: 14,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,059.14 : 30,089.40 = 9,523.71 : x
  2. Step 2: Convert to fraction form
    20,059.14/30,089.40 = 9,523.71/x
  3. Step 3: Cross multiply
    20,059.14x = 30,089.40 × 9,523.71
  4. Step 4: Simplify right side
    20,059.14x = 286,562,719.67
  5. Step 5: Solve for x
    x = 286,562,719.67/20,059.14
  6. Step 6: Final answer
    x = 14,285.89

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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.