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Finding the Fourth Proportional to 23,649.30, 32,635.22 and 13,038.86

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Solution

The fourth proportional to 23,649.30, 32,635.22 and 13,038.86 is: 17,993.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,649.30 : 32,635.22 = 13,038.86 : x
  2. Step 2: Convert to fraction form
    23,649.30/32,635.22 = 13,038.86/x
  3. Step 3: Cross multiply
    23,649.30x = 32,635.22 × 13,038.86
  4. Step 4: Simplify right side
    23,649.30x = 425,526,064.65
  5. Step 5: Solve for x
    x = 425,526,064.65/23,649.30
  6. Step 6: Final answer
    x = 17,993.18

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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.