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Finding the Fourth Proportional to 11,821.52, 16,319.14 and 8,420.88

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Solution

The fourth proportional to 11,821.52, 16,319.14 and 8,420.88 is: 11,624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,821.52 : 16,319.14 = 8,420.88 : x
  2. Step 2: Convert to fraction form
    11,821.52/16,319.14 = 8,420.88/x
  3. Step 3: Cross multiply
    11,821.52x = 16,319.14 × 8,420.88
  4. Step 4: Simplify right side
    11,821.52x = 137,421,519.64
  5. Step 5: Solve for x
    x = 137,421,519.64/11,821.52
  6. Step 6: Final answer
    x = 11,624.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.