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Finding the Fourth Proportional to 14,394, 21,591 and 4,006.02

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Solution

The fourth proportional to 14,394, 21,591 and 4,006.02 is: 6,009.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,394 : 21,591 = 4,006.02 : x
  2. Step 2: Convert to fraction form
    14,394/21,591 = 4,006.02/x
  3. Step 3: Cross multiply
    14,394x = 21,591 × 4,006.02
  4. Step 4: Simplify right side
    14,394x = 86,493,977.82
  5. Step 5: Solve for x
    x = 86,493,977.82/14,394
  6. Step 6: Final answer
    x = 6,009.03

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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.