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Finding the Fourth Proportional to 14,137.91, 19,514.89 and 10,170.56

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Solution

The fourth proportional to 14,137.91, 19,514.89 and 10,170.56 is: 14,038.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.91 : 19,514.89 = 10,170.56 : x
  2. Step 2: Convert to fraction form
    14,137.91/19,514.89 = 10,170.56/x
  3. Step 3: Cross multiply
    14,137.91x = 19,514.89 × 10,170.56
  4. Step 4: Simplify right side
    14,137.91x = 198,477,421.14
  5. Step 5: Solve for x
    x = 198,477,421.14/14,137.91
  6. Step 6: Final answer
    x = 14,038.67

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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.