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Finding the Fourth Proportional to 20,957.58, 31,394.16 and 9,697.05

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Solution

The fourth proportional to 20,957.58, 31,394.16 and 9,697.05 is: 14,526.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,957.58 : 31,394.16 = 9,697.05 : x
  2. Step 2: Convert to fraction form
    20,957.58/31,394.16 = 9,697.05/x
  3. Step 3: Cross multiply
    20,957.58x = 31,394.16 × 9,697.05
  4. Step 4: Simplify right side
    20,957.58x = 304,430,739.23
  5. Step 5: Solve for x
    x = 304,430,739.23/20,957.58
  6. Step 6: Final answer
    x = 14,526.04

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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.