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Finding the Fourth Proportional to 17,855.87, 24,642.56 and 9,900.66

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Solution

The fourth proportional to 17,855.87, 24,642.56 and 9,900.66 is: 13,663.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,855.87 : 24,642.56 = 9,900.66 : x
  2. Step 2: Convert to fraction form
    17,855.87/24,642.56 = 9,900.66/x
  3. Step 3: Cross multiply
    17,855.87x = 24,642.56 × 9,900.66
  4. Step 4: Simplify right side
    17,855.87x = 243,977,558.59
  5. Step 5: Solve for x
    x = 243,977,558.59/17,855.87
  6. Step 6: Final answer
    x = 13,663.72

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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.