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Finding the Fourth Proportional to 23,647.80, 32,634 and 13,037.16

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Solution

The fourth proportional to 23,647.80, 32,634 and 13,037.16 is: 17,991.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,647.80 : 32,634 = 13,037.16 : x
  2. Step 2: Convert to fraction form
    23,647.80/32,634 = 13,037.16/x
  3. Step 3: Cross multiply
    23,647.80x = 32,634 × 13,037.16
  4. Step 4: Simplify right side
    23,647.80x = 425,454,679.44
  5. Step 5: Solve for x
    x = 425,454,679.44/23,647.80
  6. Step 6: Final answer
    x = 17,991.30

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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.