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Finding the Fourth Proportional to 12,900.74, 17,799.10 and 8,356.24

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Solution

The fourth proportional to 12,900.74, 17,799.10 and 8,356.24 is: 11,529.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,900.74 : 17,799.10 = 8,356.24 : x
  2. Step 2: Convert to fraction form
    12,900.74/17,799.10 = 8,356.24/x
  3. Step 3: Cross multiply
    12,900.74x = 17,799.10 × 8,356.24
  4. Step 4: Simplify right side
    12,900.74x = 148,733,551.38
  5. Step 5: Solve for x
    x = 148,733,551.38/12,900.74
  6. Step 6: Final answer
    x = 11,529.07

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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.