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Finding the Fourth Proportional to 16,817, 23,207.46 and 9,365

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Solution

The fourth proportional to 16,817, 23,207.46 and 9,365 is: 12,923.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,817 : 23,207.46 = 9,365 : x
  2. Step 2: Convert to fraction form
    16,817/23,207.46 = 9,365/x
  3. Step 3: Cross multiply
    16,817x = 23,207.46 × 9,365
  4. Step 4: Simplify right side
    16,817x = 217,337,862.90
  5. Step 5: Solve for x
    x = 217,337,862.90/16,817
  6. Step 6: Final answer
    x = 12,923.70

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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.