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Finding the Fourth Proportional to 16,494.30, 24,746.88 and 10,969.38

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Solution

The fourth proportional to 16,494.30, 24,746.88 and 10,969.38 is: 16,457.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.30 : 24,746.88 = 10,969.38 : x
  2. Step 2: Convert to fraction form
    16,494.30/24,746.88 = 10,969.38/x
  3. Step 3: Cross multiply
    16,494.30x = 24,746.88 × 10,969.38
  4. Step 4: Simplify right side
    16,494.30x = 271,457,930.53
  5. Step 5: Solve for x
    x = 271,457,930.53/16,494.30
  6. Step 6: Final answer
    x = 16,457.68

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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.