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Finding the Fourth Proportional to 14,333.72, 19,780.47 and 8,046.09

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Solution

The fourth proportional to 14,333.72, 19,780.47 and 8,046.09 is: 11,103.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,333.72 : 19,780.47 = 8,046.09 : x
  2. Step 2: Convert to fraction form
    14,333.72/19,780.47 = 8,046.09/x
  3. Step 3: Cross multiply
    14,333.72x = 19,780.47 × 8,046.09
  4. Step 4: Simplify right side
    14,333.72x = 159,155,441.86
  5. Step 5: Solve for x
    x = 159,155,441.86/14,333.72
  6. Step 6: Final answer
    x = 11,103.57

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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.