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Finding the Fourth Proportional to 11,864.80, 17,772.90 and 6,024.70

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Solution

The fourth proportional to 11,864.80, 17,772.90 and 6,024.70 is: 9,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.80 : 17,772.90 = 6,024.70 : x
  2. Step 2: Convert to fraction form
    11,864.80/17,772.90 = 6,024.70/x
  3. Step 3: Cross multiply
    11,864.80x = 17,772.90 × 6,024.70
  4. Step 4: Simplify right side
    11,864.80x = 107,076,390.63
  5. Step 5: Solve for x
    x = 107,076,390.63/11,864.80
  6. Step 6: Final answer
    x = 9,024.71

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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.