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Finding the Fourth Proportional to 24,153.40, 36,230.10 and 16,280.20

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Solution

The fourth proportional to 24,153.40, 36,230.10 and 16,280.20 is: 24,420.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,153.40 : 36,230.10 = 16,280.20 : x
  2. Step 2: Convert to fraction form
    24,153.40/36,230.10 = 16,280.20/x
  3. Step 3: Cross multiply
    24,153.40x = 36,230.10 × 16,280.20
  4. Step 4: Simplify right side
    24,153.40x = 589,833,274.02
  5. Step 5: Solve for x
    x = 589,833,274.02/24,153.40
  6. Step 6: Final answer
    x = 24,420.30

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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.