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Finding the Fourth Proportional to 24,047.20, 36,051.60 and 10,184.80

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Solution

The fourth proportional to 24,047.20, 36,051.60 and 10,184.80 is: 15,269.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,047.20 : 36,051.60 = 10,184.80 : x
  2. Step 2: Convert to fraction form
    24,047.20/36,051.60 = 10,184.80/x
  3. Step 3: Cross multiply
    24,047.20x = 36,051.60 × 10,184.80
  4. Step 4: Simplify right side
    24,047.20x = 367,178,335.68
  5. Step 5: Solve for x
    x = 367,178,335.68/24,047.20
  6. Step 6: Final answer
    x = 15,269.07

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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.