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Finding the Fourth Proportional to 14,632.60, 21,948.90 and 8,411.80

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Solution

The fourth proportional to 14,632.60, 21,948.90 and 8,411.80 is: 12,617.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,632.60 : 21,948.90 = 8,411.80 : x
  2. Step 2: Convert to fraction form
    14,632.60/21,948.90 = 8,411.80/x
  3. Step 3: Cross multiply
    14,632.60x = 21,948.90 × 8,411.80
  4. Step 4: Simplify right side
    14,632.60x = 184,629,757.02
  5. Step 5: Solve for x
    x = 184,629,757.02/14,632.60
  6. Step 6: Final answer
    x = 12,617.70

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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.