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Finding the Fourth Proportional to 14,044.14, 19,381.19 and 7,670.97

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Solution

The fourth proportional to 14,044.14, 19,381.19 and 7,670.97 is: 10,586.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,044.14 : 19,381.19 = 7,670.97 : x
  2. Step 2: Convert to fraction form
    14,044.14/19,381.19 = 7,670.97/x
  3. Step 3: Cross multiply
    14,044.14x = 19,381.19 × 7,670.97
  4. Step 4: Simplify right side
    14,044.14x = 148,672,488.70
  5. Step 5: Solve for x
    x = 148,672,488.70/14,044.14
  6. Step 6: Final answer
    x = 10,586.09

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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.