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Finding the Fourth Proportional to 17,407.64, 24,013.80 and 11,735.21

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Solution

The fourth proportional to 17,407.64, 24,013.80 and 11,735.21 is: 16,188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.64 : 24,013.80 = 11,735.21 : x
  2. Step 2: Convert to fraction form
    17,407.64/24,013.80 = 11,735.21/x
  3. Step 3: Cross multiply
    17,407.64x = 24,013.80 × 11,735.21
  4. Step 4: Simplify right side
    17,407.64x = 281,806,985.90
  5. Step 5: Solve for x
    x = 281,806,985.90/17,407.64
  6. Step 6: Final answer
    x = 16,188.70

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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.