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Finding the Fourth Proportional to 17,074.33, 23,562.49 and 9,905.70

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Solution

The fourth proportional to 17,074.33, 23,562.49 and 9,905.70 is: 13,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,074.33 : 23,562.49 = 9,905.70 : x
  2. Step 2: Convert to fraction form
    17,074.33/23,562.49 = 9,905.70/x
  3. Step 3: Cross multiply
    17,074.33x = 23,562.49 × 9,905.70
  4. Step 4: Simplify right side
    17,074.33x = 233,402,957.19
  5. Step 5: Solve for x
    x = 233,402,957.19/17,074.33
  6. Step 6: Final answer
    x = 13,669.82

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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.