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Finding the Fourth Proportional to 19,923.65, 27,494.42 and 10,970.96

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Solution

The fourth proportional to 19,923.65, 27,494.42 and 10,970.96 is: 15,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,923.65 : 27,494.42 = 10,970.96 : x
  2. Step 2: Convert to fraction form
    19,923.65/27,494.42 = 10,970.96/x
  3. Step 3: Cross multiply
    19,923.65x = 27,494.42 × 10,970.96
  4. Step 4: Simplify right side
    19,923.65x = 301,639,989.72
  5. Step 5: Solve for x
    x = 301,639,989.72/19,923.65
  6. Step 6: Final answer
    x = 15,139.80

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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.