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Finding the Fourth Proportional to 16,817.48, 23,207.70 and 9,365

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Solution

The fourth proportional to 16,817.48, 23,207.70 and 9,365 is: 12,923.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,817.48 : 23,207.70 = 9,365 : x
  2. Step 2: Convert to fraction form
    16,817.48/23,207.70 = 9,365/x
  3. Step 3: Cross multiply
    16,817.48x = 23,207.70 × 9,365
  4. Step 4: Simplify right side
    16,817.48x = 217,340,110.50
  5. Step 5: Solve for x
    x = 217,340,110.50/16,817.48
  6. Step 6: Final answer
    x = 12,923.46

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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.