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Finding the Fourth Proportional to 11,774.16, 16,238.88 and 10,354.80

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Solution

The fourth proportional to 11,774.16, 16,238.88 and 10,354.80 is: 14,281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.16 : 16,238.88 = 10,354.80 : x
  2. Step 2: Convert to fraction form
    11,774.16/16,238.88 = 10,354.80/x
  3. Step 3: Cross multiply
    11,774.16x = 16,238.88 × 10,354.80
  4. Step 4: Simplify right side
    11,774.16x = 168,150,354.62
  5. Step 5: Solve for x
    x = 168,150,354.62/11,774.16
  6. Step 6: Final answer
    x = 14,281.30

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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.