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Finding the Fourth Proportional to 16,280.80, 24,356.40 and 14,113.60

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Solution

The fourth proportional to 16,280.80, 24,356.40 and 14,113.60 is: 21,114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,280.80 : 24,356.40 = 14,113.60 : x
  2. Step 2: Convert to fraction form
    16,280.80/24,356.40 = 14,113.60/x
  3. Step 3: Cross multiply
    16,280.80x = 24,356.40 × 14,113.60
  4. Step 4: Simplify right side
    16,280.80x = 343,756,487.04
  5. Step 5: Solve for x
    x = 343,756,487.04/16,280.80
  6. Step 6: Final answer
    x = 21,114.23

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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.