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Finding the Fourth Proportional to 15,916.08, 23,857.68 and 7,153.50

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Solution

The fourth proportional to 15,916.08, 23,857.68 and 7,153.50 is: 10,722.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,916.08 : 23,857.68 = 7,153.50 : x
  2. Step 2: Convert to fraction form
    15,916.08/23,857.68 = 7,153.50/x
  3. Step 3: Cross multiply
    15,916.08x = 23,857.68 × 7,153.50
  4. Step 4: Simplify right side
    15,916.08x = 170,665,913.88
  5. Step 5: Solve for x
    x = 170,665,913.88/15,916.08
  6. Step 6: Final answer
    x = 10,722.86

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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.