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Finding the Fourth Proportional to 23,649.68, 32,634.06 and 13,038.68

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Solution

The fourth proportional to 23,649.68, 32,634.06 and 13,038.68 is: 17,992.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,649.68 : 32,634.06 = 13,038.68 : x
  2. Step 2: Convert to fraction form
    23,649.68/32,634.06 = 13,038.68/x
  3. Step 3: Cross multiply
    23,649.68x = 32,634.06 × 13,038.68
  4. Step 4: Simplify right side
    23,649.68x = 425,505,065.44
  5. Step 5: Solve for x
    x = 425,505,065.44/23,649.68
  6. Step 6: Final answer
    x = 17,992.00

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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.