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Finding the Fourth Proportional to 23,501.59, 32,431.82 and 12,891.60

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Solution

The fourth proportional to 23,501.59, 32,431.82 and 12,891.60 is: 17,790.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,501.59 : 32,431.82 = 12,891.60 : x
  2. Step 2: Convert to fraction form
    23,501.59/32,431.82 = 12,891.60/x
  3. Step 3: Cross multiply
    23,501.59x = 32,431.82 × 12,891.60
  4. Step 4: Simplify right side
    23,501.59x = 418,097,986.25
  5. Step 5: Solve for x
    x = 418,097,986.25/23,501.59
  6. Step 6: Final answer
    x = 17,790.20

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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.