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Finding the Fourth Proportional to 16,428.40, 22,664.76 and 10,129.84

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Solution

The fourth proportional to 16,428.40, 22,664.76 and 10,129.84 is: 13,975.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,428.40 : 22,664.76 = 10,129.84 : x
  2. Step 2: Convert to fraction form
    16,428.40/22,664.76 = 10,129.84/x
  3. Step 3: Cross multiply
    16,428.40x = 22,664.76 × 10,129.84
  4. Step 4: Simplify right side
    16,428.40x = 229,590,392.44
  5. Step 5: Solve for x
    x = 229,590,392.44/16,428.40
  6. Step 6: Final answer
    x = 13,975.21

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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.