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Finding the Fourth Proportional to 17,763.47, 24,513.44 and 9,697.05

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Solution

The fourth proportional to 17,763.47, 24,513.44 and 9,697.05 is: 13,381.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,763.47 : 24,513.44 = 9,697.05 : x
  2. Step 2: Convert to fraction form
    17,763.47/24,513.44 = 9,697.05/x
  3. Step 3: Cross multiply
    17,763.47x = 24,513.44 × 9,697.05
  4. Step 4: Simplify right side
    17,763.47x = 237,708,004.87
  5. Step 5: Solve for x
    x = 237,708,004.87/17,763.47
  6. Step 6: Final answer
    x = 13,381.85

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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.