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Finding the Fourth Proportional to 14,228.69, 21,335.74 and 9,023.63

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Solution

The fourth proportional to 14,228.69, 21,335.74 and 9,023.63 is: 13,530.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,228.69 : 21,335.74 = 9,023.63 : x
  2. Step 2: Convert to fraction form
    14,228.69/21,335.74 = 9,023.63/x
  3. Step 3: Cross multiply
    14,228.69x = 21,335.74 × 9,023.63
  4. Step 4: Simplify right side
    14,228.69x = 192,525,694.30
  5. Step 5: Solve for x
    x = 192,525,694.30/14,228.69
  6. Step 6: Final answer
    x = 13,530.81

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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.