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Finding the Fourth Proportional to 17,505.76, 24,157.41 and 9,548.14

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Solution

The fourth proportional to 17,505.76, 24,157.41 and 9,548.14 is: 13,176.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,505.76 : 24,157.41 = 9,548.14 : x
  2. Step 2: Convert to fraction form
    17,505.76/24,157.41 = 9,548.14/x
  3. Step 3: Cross multiply
    17,505.76x = 24,157.41 × 9,548.14
  4. Step 4: Simplify right side
    17,505.76x = 230,658,332.72
  5. Step 5: Solve for x
    x = 230,658,332.72/17,505.76
  6. Step 6: Final answer
    x = 13,176.14

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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.