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Finding the Fourth Proportional to 18,460, 27,689.74 and 8,593.76

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Solution

The fourth proportional to 18,460, 27,689.74 and 8,593.76 is: 12,890.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,460 : 27,689.74 = 8,593.76 : x
  2. Step 2: Convert to fraction form
    18,460/27,689.74 = 8,593.76/x
  3. Step 3: Cross multiply
    18,460x = 27,689.74 × 8,593.76
  4. Step 4: Simplify right side
    18,460x = 237,958,980.02
  5. Step 5: Solve for x
    x = 237,958,980.02/18,460
  6. Step 6: Final answer
    x = 12,890.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.