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Finding the Fourth Proportional to 14,488.71, 21,694.13 and 9,195.06

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Solution

The fourth proportional to 14,488.71, 21,694.13 and 9,195.06 is: 13,767.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,488.71 : 21,694.13 = 9,195.06 : x
  2. Step 2: Convert to fraction form
    14,488.71/21,694.13 = 9,195.06/x
  3. Step 3: Cross multiply
    14,488.71x = 21,694.13 × 9,195.06
  4. Step 4: Simplify right side
    14,488.71x = 199,478,827.00
  5. Step 5: Solve for x
    x = 199,478,827.00/14,488.71
  6. Step 6: Final answer
    x = 13,767.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.