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Finding the Fourth Proportional to 14,917.84, 20,589.60 and 11,374.72

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Solution

The fourth proportional to 14,917.84, 20,589.60 and 11,374.72 is: 15,699.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,917.84 : 20,589.60 = 11,374.72 : x
  2. Step 2: Convert to fraction form
    14,917.84/20,589.60 = 11,374.72/x
  3. Step 3: Cross multiply
    14,917.84x = 20,589.60 × 11,374.72
  4. Step 4: Simplify right side
    14,917.84x = 234,200,934.91
  5. Step 5: Solve for x
    x = 234,200,934.91/14,917.84
  6. Step 6: Final answer
    x = 15,699.39

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Why These Related Problems?

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