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Finding the Fourth Proportional to 17,905.78, 24,710.66 and 9,839.77

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Solution

The fourth proportional to 17,905.78, 24,710.66 and 9,839.77 is: 13,579.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,905.78 : 24,710.66 = 9,839.77 : x
  2. Step 2: Convert to fraction form
    17,905.78/24,710.66 = 9,839.77/x
  3. Step 3: Cross multiply
    17,905.78x = 24,710.66 × 9,839.77
  4. Step 4: Simplify right side
    17,905.78x = 243,147,206.37
  5. Step 5: Solve for x
    x = 243,147,206.37/17,905.78
  6. Step 6: Final answer
    x = 13,579.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.