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Finding the Fourth Proportional to 16,113.30, 24,169 and 9,581.06

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Solution

The fourth proportional to 16,113.30, 24,169 and 9,581.06 is: 14,371.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,113.30 : 24,169 = 9,581.06 : x
  2. Step 2: Convert to fraction form
    16,113.30/24,169 = 9,581.06/x
  3. Step 3: Cross multiply
    16,113.30x = 24,169 × 9,581.06
  4. Step 4: Simplify right side
    16,113.30x = 231,564,639.14
  5. Step 5: Solve for x
    x = 231,564,639.14/16,113.30
  6. Step 6: Final answer
    x = 14,371.03

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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.