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Finding the Fourth Proportional to 23,696.40, 35,532.44 and 13,854.90

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Solution

The fourth proportional to 23,696.40, 35,532.44 and 13,854.90 is: 20,775.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,696.40 : 35,532.44 = 13,854.90 : x
  2. Step 2: Convert to fraction form
    23,696.40/35,532.44 = 13,854.90/x
  3. Step 3: Cross multiply
    23,696.40x = 35,532.44 × 13,854.90
  4. Step 4: Simplify right side
    23,696.40x = 492,298,402.96
  5. Step 5: Solve for x
    x = 492,298,402.96/23,696.40
  6. Step 6: Final answer
    x = 20,775.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.