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Finding the Fourth Proportional to 14,002.24, 20,992.02 and 5,235.88

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Solution

The fourth proportional to 14,002.24, 20,992.02 and 5,235.88 is: 7,849.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,002.24 : 20,992.02 = 5,235.88 : x
  2. Step 2: Convert to fraction form
    14,002.24/20,992.02 = 5,235.88/x
  3. Step 3: Cross multiply
    14,002.24x = 20,992.02 × 5,235.88
  4. Step 4: Simplify right side
    14,002.24x = 109,911,697.68
  5. Step 5: Solve for x
    x = 109,911,697.68/14,002.24
  6. Step 6: Final answer
    x = 7,849.58

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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.