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Finding the Fourth Proportional to 10,950.10, 16,400.85 and 9,492.10

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Solution

The fourth proportional to 10,950.10, 16,400.85 and 9,492.10 is: 14,217.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.10 : 16,400.85 = 9,492.10 : x
  2. Step 2: Convert to fraction form
    10,950.10/16,400.85 = 9,492.10/x
  3. Step 3: Cross multiply
    10,950.10x = 16,400.85 × 9,492.10
  4. Step 4: Simplify right side
    10,950.10x = 155,678,508.29
  5. Step 5: Solve for x
    x = 155,678,508.29/10,950.10
  6. Step 6: Final answer
    x = 14,217.09

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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.