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Finding the Fourth Proportional to 23,648.30, 32,633.84 and 13,037.86

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Solution

The fourth proportional to 23,648.30, 32,633.84 and 13,037.86 is: 17,991.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,648.30 : 32,633.84 = 13,037.86 : x
  2. Step 2: Convert to fraction form
    23,648.30/32,633.84 = 13,037.86/x
  3. Step 3: Cross multiply
    23,648.30x = 32,633.84 × 13,037.86
  4. Step 4: Simplify right side
    23,648.30x = 425,475,437.23
  5. Step 5: Solve for x
    x = 425,475,437.23/23,648.30
  6. Step 6: Final answer
    x = 17,991.79

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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.