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Finding the Fourth Proportional to 20,965.60, 31,446.32 and 7,114.40

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Solution

The fourth proportional to 20,965.60, 31,446.32 and 7,114.40 is: 10,670.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,965.60 : 31,446.32 = 7,114.40 : x
  2. Step 2: Convert to fraction form
    20,965.60/31,446.32 = 7,114.40/x
  3. Step 3: Cross multiply
    20,965.60x = 31,446.32 × 7,114.40
  4. Step 4: Simplify right side
    20,965.60x = 223,721,699.01
  5. Step 5: Solve for x
    x = 223,721,699.01/20,965.60
  6. Step 6: Final answer
    x = 10,670.89

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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.