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Finding the Fourth Proportional to 17,588.95, 24,271.82 and 9,629.65

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Solution

The fourth proportional to 17,588.95, 24,271.82 and 9,629.65 is: 13,288.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,588.95 : 24,271.82 = 9,629.65 : x
  2. Step 2: Convert to fraction form
    17,588.95/24,271.82 = 9,629.65/x
  3. Step 3: Cross multiply
    17,588.95x = 24,271.82 × 9,629.65
  4. Step 4: Simplify right side
    17,588.95x = 233,729,131.46
  5. Step 5: Solve for x
    x = 233,729,131.46/17,588.95
  6. Step 6: Final answer
    x = 13,288.41

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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.