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Finding the Fourth Proportional to 24,047.20, 36,046.32 and 16,256.80

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Solution

The fourth proportional to 24,047.20, 36,046.32 and 16,256.80 is: 24,368.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,047.20 : 36,046.32 = 16,256.80 : x
  2. Step 2: Convert to fraction form
    24,047.20/36,046.32 = 16,256.80/x
  3. Step 3: Cross multiply
    24,047.20x = 36,046.32 × 16,256.80
  4. Step 4: Simplify right side
    24,047.20x = 585,997,814.98
  5. Step 5: Solve for x
    x = 585,997,814.98/24,047.20
  6. Step 6: Final answer
    x = 24,368.65

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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.