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Finding the Fourth Proportional to 17,088, 23,582.88 and 9,637.44

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Solution

The fourth proportional to 17,088, 23,582.88 and 9,637.44 is: 13,300.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,088 : 23,582.88 = 9,637.44 : x
  2. Step 2: Convert to fraction form
    17,088/23,582.88 = 9,637.44/x
  3. Step 3: Cross multiply
    17,088x = 23,582.88 × 9,637.44
  4. Step 4: Simplify right side
    17,088x = 227,278,591.03
  5. Step 5: Solve for x
    x = 227,278,591.03/17,088
  6. Step 6: Final answer
    x = 13,300.48

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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.