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Finding the Fourth Proportional to 17,846.10, 24,627.24 and 10,292.40

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Solution

The fourth proportional to 17,846.10, 24,627.24 and 10,292.40 is: 14,203.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,846.10 : 24,627.24 = 10,292.40 : x
  2. Step 2: Convert to fraction form
    17,846.10/24,627.24 = 10,292.40/x
  3. Step 3: Cross multiply
    17,846.10x = 24,627.24 × 10,292.40
  4. Step 4: Simplify right side
    17,846.10x = 253,473,404.98
  5. Step 5: Solve for x
    x = 253,473,404.98/17,846.10
  6. Step 6: Final answer
    x = 14,203.29

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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.