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Finding the Fourth Proportional to 15,697.97, 21,666.38 and 9,645.45

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Solution

The fourth proportional to 15,697.97, 21,666.38 and 9,645.45 is: 13,312.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,697.97 : 21,666.38 = 9,645.45 : x
  2. Step 2: Convert to fraction form
    15,697.97/21,666.38 = 9,645.45/x
  3. Step 3: Cross multiply
    15,697.97x = 21,666.38 × 9,645.45
  4. Step 4: Simplify right side
    15,697.97x = 208,981,936.74
  5. Step 5: Solve for x
    x = 208,981,936.74/15,697.97
  6. Step 6: Final answer
    x = 13,312.68

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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.