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Finding the Fourth Proportional to 20,894.36, 31,349.53 and 12,580.31

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Solution

The fourth proportional to 20,894.36, 31,349.53 and 12,580.31 is: 18,875.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,894.36 : 31,349.53 = 12,580.31 : x
  2. Step 2: Convert to fraction form
    20,894.36/31,349.53 = 12,580.31/x
  3. Step 3: Cross multiply
    20,894.36x = 31,349.53 × 12,580.31
  4. Step 4: Simplify right side
    20,894.36x = 394,386,899.85
  5. Step 5: Solve for x
    x = 394,386,899.85/20,894.36
  6. Step 6: Final answer
    x = 18,875.28

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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.