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Finding the Fourth Proportional to 17,044.96, 23,522.22 and 9,970

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Solution

The fourth proportional to 17,044.96, 23,522.22 and 9,970 is: 13,758.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,044.96 : 23,522.22 = 9,970 : x
  2. Step 2: Convert to fraction form
    17,044.96/23,522.22 = 9,970/x
  3. Step 3: Cross multiply
    17,044.96x = 23,522.22 × 9,970
  4. Step 4: Simplify right side
    17,044.96x = 234,516,533.40
  5. Step 5: Solve for x
    x = 234,516,533.40/17,044.96
  6. Step 6: Final answer
    x = 13,758.70

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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.