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Finding the Fourth Proportional to 21,880.14, 30,184.10 and 14,323.14

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Solution

The fourth proportional to 21,880.14, 30,184.10 and 14,323.14 is: 19,759.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,880.14 : 30,184.10 = 14,323.14 : x
  2. Step 2: Convert to fraction form
    21,880.14/30,184.10 = 14,323.14/x
  3. Step 3: Cross multiply
    21,880.14x = 30,184.10 × 14,323.14
  4. Step 4: Simplify right side
    21,880.14x = 432,331,090.07
  5. Step 5: Solve for x
    x = 432,331,090.07/21,880.14
  6. Step 6: Final answer
    x = 19,759.06

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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.