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Finding the Fourth Proportional to 21,812.49, 30,102.21 and 12,381.93

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Solution

The fourth proportional to 21,812.49, 30,102.21 and 12,381.93 is: 17,087.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,812.49 : 30,102.21 = 12,381.93 : x
  2. Step 2: Convert to fraction form
    21,812.49/30,102.21 = 12,381.93/x
  3. Step 3: Cross multiply
    21,812.49x = 30,102.21 × 12,381.93
  4. Step 4: Simplify right side
    21,812.49x = 372,723,457.07
  5. Step 5: Solve for x
    x = 372,723,457.07/21,812.49
  6. Step 6: Final answer
    x = 17,087.62

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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.