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Finding the Fourth Proportional to 20,954.54, 31,403.93 and 15,381.74

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Solution

The fourth proportional to 20,954.54, 31,403.93 and 15,381.74 is: 23,052.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,954.54 : 31,403.93 = 15,381.74 : x
  2. Step 2: Convert to fraction form
    20,954.54/31,403.93 = 15,381.74/x
  3. Step 3: Cross multiply
    20,954.54x = 31,403.93 × 15,381.74
  4. Step 4: Simplify right side
    20,954.54x = 483,046,852.31
  5. Step 5: Solve for x
    x = 483,046,852.31/20,954.54
  6. Step 6: Final answer
    x = 23,052.14

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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.