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Finding the Fourth Proportional to 14,012.30, 19,340.16 and 8,350.09

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Solution

The fourth proportional to 14,012.30, 19,340.16 and 8,350.09 is: 11,525.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,012.30 : 19,340.16 = 8,350.09 : x
  2. Step 2: Convert to fraction form
    14,012.30/19,340.16 = 8,350.09/x
  3. Step 3: Cross multiply
    14,012.30x = 19,340.16 × 8,350.09
  4. Step 4: Simplify right side
    14,012.30x = 161,492,076.61
  5. Step 5: Solve for x
    x = 161,492,076.61/14,012.30
  6. Step 6: Final answer
    x = 11,525.02

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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.