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Finding the Fourth Proportional to 20,973.30, 31,459.79 and 9,873.94

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Solution

The fourth proportional to 20,973.30, 31,459.79 and 9,873.94 is: 14,810.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,973.30 : 31,459.79 = 9,873.94 : x
  2. Step 2: Convert to fraction form
    20,973.30/31,459.79 = 9,873.94/x
  3. Step 3: Cross multiply
    20,973.30x = 31,459.79 × 9,873.94
  4. Step 4: Simplify right side
    20,973.30x = 310,632,078.87
  5. Step 5: Solve for x
    x = 310,632,078.87/20,973.30
  6. Step 6: Final answer
    x = 14,810.83

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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.