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Finding the Fourth Proportional to 16,760.98, 23,130.29 and 9,207.47

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Solution

The fourth proportional to 16,760.98, 23,130.29 and 9,207.47 is: 12,706.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,760.98 : 23,130.29 = 9,207.47 : x
  2. Step 2: Convert to fraction form
    16,760.98/23,130.29 = 9,207.47/x
  3. Step 3: Cross multiply
    16,760.98x = 23,130.29 × 9,207.47
  4. Step 4: Simplify right side
    16,760.98x = 212,971,532.11
  5. Step 5: Solve for x
    x = 212,971,532.11/16,760.98
  6. Step 6: Final answer
    x = 12,706.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.