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Finding the Fourth Proportional to 17,320.48, 23,902.80 and 9,868

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Solution

The fourth proportional to 17,320.48, 23,902.80 and 9,868 is: 13,618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,320.48 : 23,902.80 = 9,868 : x
  2. Step 2: Convert to fraction form
    17,320.48/23,902.80 = 9,868/x
  3. Step 3: Cross multiply
    17,320.48x = 23,902.80 × 9,868
  4. Step 4: Simplify right side
    17,320.48x = 235,872,830.40
  5. Step 5: Solve for x
    x = 235,872,830.40/17,320.48
  6. Step 6: Final answer
    x = 13,618.15

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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.