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Finding the Fourth Proportional to 12,701.67, 19,053.09 and 6,133.38

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Solution

The fourth proportional to 12,701.67, 19,053.09 and 6,133.38 is: 9,200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,701.67 : 19,053.09 = 6,133.38 : x
  2. Step 2: Convert to fraction form
    12,701.67/19,053.09 = 6,133.38/x
  3. Step 3: Cross multiply
    12,701.67x = 19,053.09 × 6,133.38
  4. Step 4: Simplify right side
    12,701.67x = 116,859,841.14
  5. Step 5: Solve for x
    x = 116,859,841.14/12,701.67
  6. Step 6: Final answer
    x = 9,200.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.