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Finding the Fourth Proportional to 12,795.74, 17,637.66 and 8,538.38

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Solution

The fourth proportional to 12,795.74, 17,637.66 and 8,538.38 is: 11,769.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,795.74 : 17,637.66 = 8,538.38 : x
  2. Step 2: Convert to fraction form
    12,795.74/17,637.66 = 8,538.38/x
  3. Step 3: Cross multiply
    12,795.74x = 17,637.66 × 8,538.38
  4. Step 4: Simplify right side
    12,795.74x = 150,596,955.20
  5. Step 5: Solve for x
    x = 150,596,955.20/12,795.74
  6. Step 6: Final answer
    x = 11,769.31

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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.