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Finding the Fourth Proportional to 14,268.30, 21,402.48 and 7,697.58

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Solution

The fourth proportional to 14,268.30, 21,402.48 and 7,697.58 is: 11,546.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,268.30 : 21,402.48 = 7,697.58 : x
  2. Step 2: Convert to fraction form
    14,268.30/21,402.48 = 7,697.58/x
  3. Step 3: Cross multiply
    14,268.30x = 21,402.48 × 7,697.58
  4. Step 4: Simplify right side
    14,268.30x = 164,747,302.00
  5. Step 5: Solve for x
    x = 164,747,302.00/14,268.30
  6. Step 6: Final answer
    x = 11,546.39

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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.