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Finding the Fourth Proportional to 23,500.64, 32,431.02 and 12,890.30

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Solution

The fourth proportional to 23,500.64, 32,431.02 and 12,890.30 is: 17,788.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,500.64 : 32,431.02 = 12,890.30 : x
  2. Step 2: Convert to fraction form
    23,500.64/32,431.02 = 12,890.30/x
  3. Step 3: Cross multiply
    23,500.64x = 32,431.02 × 12,890.30
  4. Step 4: Simplify right side
    23,500.64x = 418,045,577.11
  5. Step 5: Solve for x
    x = 418,045,577.11/23,500.64
  6. Step 6: Final answer
    x = 17,788.69

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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.