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Finding the Fourth Proportional to 14,290.34, 19,717.97 and 9,260.91

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Solution

The fourth proportional to 14,290.34, 19,717.97 and 9,260.91 is: 12,778.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,290.34 : 19,717.97 = 9,260.91 : x
  2. Step 2: Convert to fraction form
    14,290.34/19,717.97 = 9,260.91/x
  3. Step 3: Cross multiply
    14,290.34x = 19,717.97 × 9,260.91
  4. Step 4: Simplify right side
    14,290.34x = 182,606,299.25
  5. Step 5: Solve for x
    x = 182,606,299.25/14,290.34
  6. Step 6: Final answer
    x = 12,778.31

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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.