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Finding the Fourth Proportional to 14,388.38, 19,851.21 and 8,415.82

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Solution

The fourth proportional to 14,388.38, 19,851.21 and 8,415.82 is: 11,611.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,388.38 : 19,851.21 = 8,415.82 : x
  2. Step 2: Convert to fraction form
    14,388.38/19,851.21 = 8,415.82/x
  3. Step 3: Cross multiply
    14,388.38x = 19,851.21 × 8,415.82
  4. Step 4: Simplify right side
    14,388.38x = 167,064,210.14
  5. Step 5: Solve for x
    x = 167,064,210.14/14,388.38
  6. Step 6: Final answer
    x = 11,611.05

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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.