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Finding the Fourth Proportional to 20,313.67, 27,970.54 and 17,781.61

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Solution

The fourth proportional to 20,313.67, 27,970.54 and 17,781.61 is: 24,484.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,313.67 : 27,970.54 = 17,781.61 : x
  2. Step 2: Convert to fraction form
    20,313.67/27,970.54 = 17,781.61/x
  3. Step 3: Cross multiply
    20,313.67x = 27,970.54 × 17,781.61
  4. Step 4: Simplify right side
    20,313.67x = 497,361,233.77
  5. Step 5: Solve for x
    x = 497,361,233.77/20,313.67
  6. Step 6: Final answer
    x = 24,484.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.