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Finding the Fourth Proportional to 19,532.97, 26,949.09 and 12,461.67

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Solution

The fourth proportional to 19,532.97, 26,949.09 and 12,461.67 is: 17,193.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,532.97 : 26,949.09 = 12,461.67 : x
  2. Step 2: Convert to fraction form
    19,532.97/26,949.09 = 12,461.67/x
  3. Step 3: Cross multiply
    19,532.97x = 26,949.09 × 12,461.67
  4. Step 4: Simplify right side
    19,532.97x = 335,830,666.38
  5. Step 5: Solve for x
    x = 335,830,666.38/19,532.97
  6. Step 6: Final answer
    x = 17,193.02

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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.