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Finding the Fourth Proportional to 17,595, 24,281.50 and 9,637.16

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Solution

The fourth proportional to 17,595, 24,281.50 and 9,637.16 is: 13,299.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,595 : 24,281.50 = 9,637.16 : x
  2. Step 2: Convert to fraction form
    17,595/24,281.50 = 9,637.16/x
  3. Step 3: Cross multiply
    17,595x = 24,281.50 × 9,637.16
  4. Step 4: Simplify right side
    17,595x = 234,004,700.54
  5. Step 5: Solve for x
    x = 234,004,700.54/17,595
  6. Step 6: Final answer
    x = 13,299.50

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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.