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Finding the Fourth Proportional to 14,917, 22,378.76 and 5,683

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Solution

The fourth proportional to 14,917, 22,378.76 and 5,683 is: 8,525.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,917 : 22,378.76 = 5,683 : x
  2. Step 2: Convert to fraction form
    14,917/22,378.76 = 5,683/x
  3. Step 3: Cross multiply
    14,917x = 22,378.76 × 5,683
  4. Step 4: Simplify right side
    14,917x = 127,178,493.08
  5. Step 5: Solve for x
    x = 127,178,493.08/14,917
  6. Step 6: Final answer
    x = 8,525.74

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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.