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Finding the Fourth Proportional to 14,023.36, 21,042.42 and 5,709.52

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Solution

The fourth proportional to 14,023.36, 21,042.42 and 5,709.52 is: 8,567.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,023.36 : 21,042.42 = 5,709.52 : x
  2. Step 2: Convert to fraction form
    14,023.36/21,042.42 = 5,709.52/x
  3. Step 3: Cross multiply
    14,023.36x = 21,042.42 × 5,709.52
  4. Step 4: Simplify right side
    14,023.36x = 120,142,117.84
  5. Step 5: Solve for x
    x = 120,142,117.84/14,023.36
  6. Step 6: Final answer
    x = 8,567.28

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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.