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Finding the Fourth Proportional to 23,648.31, 32,636.22 and 13,037.94

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Solution

The fourth proportional to 23,648.31, 32,636.22 and 13,037.94 is: 17,993.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,648.31 : 32,636.22 = 13,037.94 : x
  2. Step 2: Convert to fraction form
    23,648.31/32,636.22 = 13,037.94/x
  3. Step 3: Cross multiply
    23,648.31x = 32,636.22 × 13,037.94
  4. Step 4: Simplify right side
    23,648.31x = 425,509,078.19
  5. Step 5: Solve for x
    x = 425,509,078.19/23,648.31
  6. Step 6: Final answer
    x = 17,993.21

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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.