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Finding the Fourth Proportional to 24,470.40, 36,715.20 and 9,676.80

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Solution

The fourth proportional to 24,470.40, 36,715.20 and 9,676.80 is: 14,519.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,470.40 : 36,715.20 = 9,676.80 : x
  2. Step 2: Convert to fraction form
    24,470.40/36,715.20 = 9,676.80/x
  3. Step 3: Cross multiply
    24,470.40x = 36,715.20 × 9,676.80
  4. Step 4: Simplify right side
    24,470.40x = 355,285,647.36
  5. Step 5: Solve for x
    x = 355,285,647.36/24,470.40
  6. Step 6: Final answer
    x = 14,519.00

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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.