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Finding the Fourth Proportional to 14,212.63, 19,614.03 and 7,925

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Solution

The fourth proportional to 14,212.63, 19,614.03 and 7,925 is: 10,936.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,212.63 : 19,614.03 = 7,925 : x
  2. Step 2: Convert to fraction form
    14,212.63/19,614.03 = 7,925/x
  3. Step 3: Cross multiply
    14,212.63x = 19,614.03 × 7,925
  4. Step 4: Simplify right side
    14,212.63x = 155,441,187.75
  5. Step 5: Solve for x
    x = 155,441,187.75/14,212.63
  6. Step 6: Final answer
    x = 10,936.84

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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.