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Finding the Fourth Proportional to 29,815.68, 41,140.80 and 17,238

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Solution

The fourth proportional to 29,815.68, 41,140.80 and 17,238 is: 23,785.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,815.68 : 41,140.80 = 17,238 : x
  2. Step 2: Convert to fraction form
    29,815.68/41,140.80 = 17,238/x
  3. Step 3: Cross multiply
    29,815.68x = 41,140.80 × 17,238
  4. Step 4: Simplify right side
    29,815.68x = 709,185,110.40
  5. Step 5: Solve for x
    x = 709,185,110.40/29,815.68
  6. Step 6: Final answer
    x = 23,785.64

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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.