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Finding the Fourth Proportional to 14,916.84, 20,582.96 and 8,628

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Solution

The fourth proportional to 14,916.84, 20,582.96 and 8,628 is: 11,905.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,916.84 : 20,582.96 = 8,628 : x
  2. Step 2: Convert to fraction form
    14,916.84/20,582.96 = 8,628/x
  3. Step 3: Cross multiply
    14,916.84x = 20,582.96 × 8,628
  4. Step 4: Simplify right side
    14,916.84x = 177,589,735.74
  5. Step 5: Solve for x
    x = 177,589,735.74/14,916.84
  6. Step 6: Final answer
    x = 11,905.32

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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.