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Finding the Fourth Proportional to 23,551.04, 32,501.16 and 12,941

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Solution

The fourth proportional to 23,551.04, 32,501.16 and 12,941 is: 17,858.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,551.04 : 32,501.16 = 12,941 : x
  2. Step 2: Convert to fraction form
    23,551.04/32,501.16 = 12,941/x
  3. Step 3: Cross multiply
    23,551.04x = 32,501.16 × 12,941
  4. Step 4: Simplify right side
    23,551.04x = 420,597,511.56
  5. Step 5: Solve for x
    x = 420,597,511.56/23,551.04
  6. Step 6: Final answer
    x = 17,858.98

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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.