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Finding the Fourth Proportional to 12,836.58, 17,709.75 and 7,529.46

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Solution

The fourth proportional to 12,836.58, 17,709.75 and 7,529.46 is: 10,387.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,836.58 : 17,709.75 = 7,529.46 : x
  2. Step 2: Convert to fraction form
    12,836.58/17,709.75 = 7,529.46/x
  3. Step 3: Cross multiply
    12,836.58x = 17,709.75 × 7,529.46
  4. Step 4: Simplify right side
    12,836.58x = 133,344,854.24
  5. Step 5: Solve for x
    x = 133,344,854.24/12,836.58
  6. Step 6: Final answer
    x = 10,387.88

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