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Finding the Fourth Proportional to 14,426.28, 21,645.87 and 7,842.60

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Solution

The fourth proportional to 14,426.28, 21,645.87 and 7,842.60 is: 11,767.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,426.28 : 21,645.87 = 7,842.60 : x
  2. Step 2: Convert to fraction form
    14,426.28/21,645.87 = 7,842.60/x
  3. Step 3: Cross multiply
    14,426.28x = 21,645.87 × 7,842.60
  4. Step 4: Simplify right side
    14,426.28x = 169,759,900.06
  5. Step 5: Solve for x
    x = 169,759,900.06/14,426.28
  6. Step 6: Final answer
    x = 11,767.41

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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.