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Finding the Fourth Proportional to 16,823, 23,215.74 and 9,753.53

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Solution

The fourth proportional to 16,823, 23,215.74 and 9,753.53 is: 13,459.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,823 : 23,215.74 = 9,753.53 : x
  2. Step 2: Convert to fraction form
    16,823/23,215.74 = 9,753.53/x
  3. Step 3: Cross multiply
    16,823x = 23,215.74 × 9,753.53
  4. Step 4: Simplify right side
    16,823x = 226,435,300.48
  5. Step 5: Solve for x
    x = 226,435,300.48/16,823
  6. Step 6: Final answer
    x = 13,459.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.