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Finding the Fourth Proportional to 14,302.24, 21,458.49 and 6,404.11

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Solution

The fourth proportional to 14,302.24, 21,458.49 and 6,404.11 is: 9,608.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,302.24 : 21,458.49 = 6,404.11 : x
  2. Step 2: Convert to fraction form
    14,302.24/21,458.49 = 6,404.11/x
  3. Step 3: Cross multiply
    14,302.24x = 21,458.49 × 6,404.11
  4. Step 4: Simplify right side
    14,302.24x = 137,422,530.39
  5. Step 5: Solve for x
    x = 137,422,530.39/14,302.24
  6. Step 6: Final answer
    x = 9,608.46

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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.