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Finding the Fourth Proportional to 16,919.60, 23,349.02 and 9,846

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Solution

The fourth proportional to 16,919.60, 23,349.02 and 9,846 is: 13,587.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,919.60 : 23,349.02 = 9,846 : x
  2. Step 2: Convert to fraction form
    16,919.60/23,349.02 = 9,846/x
  3. Step 3: Cross multiply
    16,919.60x = 23,349.02 × 9,846
  4. Step 4: Simplify right side
    16,919.60x = 229,894,401.69
  5. Step 5: Solve for x
    x = 229,894,401.69/16,919.60
  6. Step 6: Final answer
    x = 13,587.46

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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.