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Finding the Fourth Proportional to 23,649.09, 32,635.71 and 13,038.90

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Solution

The fourth proportional to 23,649.09, 32,635.71 and 13,038.90 is: 17,993.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,649.09 : 32,635.71 = 13,038.90 : x
  2. Step 2: Convert to fraction form
    23,649.09/32,635.71 = 13,038.90/x
  3. Step 3: Cross multiply
    23,649.09x = 32,635.71 × 13,038.90
  4. Step 4: Simplify right side
    23,649.09x = 425,533,759.12
  5. Step 5: Solve for x
    x = 425,533,759.12/23,649.09
  6. Step 6: Final answer
    x = 17,993.66

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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.