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Finding the Fourth Proportional to 10,555.65, 14,633.40 and 9,993.87

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Solution

The fourth proportional to 10,555.65, 14,633.40 and 9,993.87 is: 13,854.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,555.65 : 14,633.40 = 9,993.87 : x
  2. Step 2: Convert to fraction form
    10,555.65/14,633.40 = 9,993.87/x
  3. Step 3: Cross multiply
    10,555.65x = 14,633.40 × 9,993.87
  4. Step 4: Simplify right side
    10,555.65x = 146,244,297.26
  5. Step 5: Solve for x
    x = 146,244,297.26/10,555.65
  6. Step 6: Final answer
    x = 13,854.60

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.