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Finding the Fourth Proportional to 14,137.58, 19,511.41 and 8,088.38

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Solution

The fourth proportional to 14,137.58, 19,511.41 and 8,088.38 is: 11,162.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.58 : 19,511.41 = 8,088.38 : x
  2. Step 2: Convert to fraction form
    14,137.58/19,511.41 = 8,088.38/x
  3. Step 3: Cross multiply
    14,137.58x = 19,511.41 × 8,088.38
  4. Step 4: Simplify right side
    14,137.58x = 157,815,698.42
  5. Step 5: Solve for x
    x = 157,815,698.42/14,137.58
  6. Step 6: Final answer
    x = 11,162.85

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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.