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Finding the Fourth Proportional to 23,648.94, 32,636.75 and 13,038.54

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Solution

The fourth proportional to 23,648.94, 32,636.75 and 13,038.54 is: 17,993.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,648.94 : 32,636.75 = 13,038.54 : x
  2. Step 2: Convert to fraction form
    23,648.94/32,636.75 = 13,038.54/x
  3. Step 3: Cross multiply
    23,648.94x = 32,636.75 × 13,038.54
  4. Step 4: Simplify right side
    23,648.94x = 425,535,505.15
  5. Step 5: Solve for x
    x = 425,535,505.15/23,648.94
  6. Step 6: Final answer
    x = 17,993.85

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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.